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### [Kansai University Spring Tournament Round 2] Starting soon!Kwansei Gakuin vs Osaka Physical Education

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After this, from 6/6 13:45, a match between Kansai University Spring Tournament Kansai Gakuin University and Osaka University of Health and Sport Sciences will be held at Nadahama Ground.** **

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# Kansai University Spring Tournament Kansai Gakuin University vs Osaka University of Health and Sport Sciences

# 600

**600**(**Six hundred**Roppaku, Rokuhyaku, Muo) isNatural number,AlsoIntegerAt599Next to601Is the number before.

## nature

- 600 isComposite numberAnddivisor The1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600.
- Sum of divisorsIs 1860.
- 145 thExcess numberIs. The previous one594,next606.
- σ (
*n*) ≧ 3*n*Meet*n*It is the ninth number when it sees. The previous one540,next660. (However, σ isDivisor function,Online Integer Sequence DictionarySequence of A023197)

- σ (
- It is the fifth number with 24 divisors. One before 6, next630.
- The value of the product of divisors is the 31th number that exceeds the previous numbers. The previous one is 1, the next is 540. (Online Integer Sequence DictionarySequence of A034287)
- The squared number of the divisors is the eleventh number that can be divided by itself. The previous one588,next672. (Online Integer Sequence DictionarySequence of A263928)
- Example. σ(600)
^{2}÷ 600 = 1860^{2}÷ 600 = 5766 (where σ isDivisor function)

- Example. σ(600)

- 600 = 24 × 25
- 24 thNumber of rectanglesIs. The previous one552,next650.
- = 600 24
^{1}+ 24^{2}= 25^{2}- 25^{1}- When viewed as the sum of 24 natural numbers, the previous one is 1 and the next is 24.
- = 600 25
^{2}- 25*n*= 25*n*^{2}When it is regarded as a value of -25, the previous one is551,next651. (Online Integer Sequence DictionarySequence of A098603)

- 600 = 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + …+ 42 + 44 + 46 + 48
- = 600 5
^{4}- 5^{2}*n*= 5*n*^{4}-*n*^{2}When you see the value of240,next1260. (Online Integer Sequence DictionarySequence of A047928)

- = 600 2
^{3}× 3 × 5^{2}- Two differentPrime factorWith the product of
*p*^{3}×*q*^{2}×*r*It is the second number that can be expressed in the form of. 4 before, next756. (Online Integer Sequence DictionarySequence of A163569) - 600 = 6 × 10
^{2}*n*= 10 for 6*n*^{2}When you see the value of486,next726. (Online Integer Sequence DictionarySequence of A033581)*n*= 6 for 100*n*When you see the value of500,next700. (Online Integer Sequence DictionarySequence of A044332)

- Two differentPrime factorWith the product of
- 148 thHarshad numberIs. The previous one is 1, the next is603.
- Regular cellIs the mostRegular polyhedronhaveRegular polymorphIs. The previous one is 1. (Online Integer Sequence DictionarySequence of A063924)
- 1/600 = 0.0016666… (The underlined part is a circulation node and the length is 1)
- Reciprocal Circulating decimalBy the numberCirculationIs the 1rd number that becomes 32. The previous one576,next720. (Online Integer Sequence DictionarySequence of A070021)

- = 600 2
^{2}+ 14^{2}+ 20^{2}= 4^{2}+ 10^{2}+ 22^{2}= 10^{2}+ 10^{2}+ 20^{2}- 3 つ のSquare numberIt is the 3rd number that can be represented by one sum of. The previous one597Next is 606. (Online Integer Sequence DictionarySequence of A025323)
- = 600 2
^{2}+ 14^{2}+ 20^{2}= 4^{2}+ 10^{2}+ 22^{2}- Three differentSquare numberIt is the 2rd number that can be represented by one sum of. The previous one598,next610. (Online Integer Sequence DictionarySequence of A025340)

*n*= 600*n*と*n*If you make a number with +1素 数become.*n*と*n*It is the 1th number in which the number of +75 is arranged as a prime number. One before is 1, next602. (Online Integer Sequence DictionarySequence of A030457)- 600 = 5 x 5! = 6! − 5!
*n*= 5*n*×*n*Seen as the value of!96,next4320. (Online Integer Sequence DictionarySequence of A001563)*n*5 × when = 5*n*When viewed as the value of !, the previous one is 1, the next is3600. (Online Integer Sequence DictionarySequence of A052648)

- There are two numbers where the sum of divisors becomes 600. (216, 398, 447, 551, 599) divisorIs the 5th number that can be represented by 6 sums of. The previous one588,next648.
- Sum of each placeIs the 6th number where is 28. 1 before, next1005.
- Eachsum of squares Square numberIs the 52th number. The previous one is 1, the next is608. (Online Integer Sequence DictionarySequence of A175396)

## Other things related to 600

- 600'sprefix: Sescenti,sexcenti (Latin), hexacosioi (Greek language）
- 600 AD
- 6st century
- 600 series(Avoid ambiguity)
- Coca-Cola 600
- 600 = 500 + 100And differentJapanese yencoinThis is the maximum number that can be made with two cards.
- Mercedes-Benz OfPassenger carVehicle model name,S600.
- ThinkPadOne of the models ofThinkPad 600
- Hino MotorsMedium truck,Hino 600Series
- 1980 era OfReaganUnder the administrationNavyArms expansion plan,600-ship fleet concept
- Shinkansen E1 seriesThe originally planned format of.

## An integer between 601 and 699

### 601 to 620

**601** : 素 数,Twin prime(599, 601),Pentagon with center

**602** = 2 × 7 × 43,Wedge number,Non-tortient

**603** = 3^{2} × 67,Harshad number

**604** = 2^{2} × 151, non-tortient

**605** = 5 × 11^{2}, Harshad number

**606** = 2 × 3 × 101, wedge number, sum of 6 consecutive prime numbers (89 + 97 + 101 + 103 + 107 + 109)

**607** : Prime number, sum of three consecutive prime numbers (3 + 197 + 199)

**608** = 2^{5} × 19, non-tortient, 496thComposite number.

**609** = 3 × 7 × 29, wedge number,7-segment displayIn the display ofPoint symmetryIt is a number.

**610** = 2 × 5 × 61, wedge number,Fibonacci number, Non-tortient,Markov number

**611** = 13 × 47

**612** = 2^{2} × 3^{2} × 17, Harshad number,Zuckerman number

**613** : Prime number,Square number with center, Replaced the numbers163, 631 is also a prime number

**614** = 2 x 307, non-tortient

**615** = 3 × 5 × 41, wedge number

**616** = 2^{3} × 7 × 11,Hexagonal number

**617** = (1!)^{2} + (2!)^{2} + (3!)^{2} + (4!)^{2}, Prime, twin prime (617, 619),Prime number, Sum of 5 consecutive primes (109 + 113 + 127 + 131 + 137), swapped numbers167, 761 is also a prime number

**618** = 2 × 3 × 103, wedge number, 618 × 10^{−3} = 0.618 is1/φ OfapproximationIs. Where φ isGolden ratio. (Online Integer Sequence DictionarySequence of A094214)

**619** : Prime number, twin prime number (617, 619),Alternate factorial

**620** = 2^{2} × 5 × 31, sum of 4 consecutive primes (149 + 151 + 157 + 163), sum of 8 consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97)

### 621 to 640

**621** = 3^{3} × 23, Harshad number

**622** = 2 x 311, non-tortient

**623** = 7 × 89

**624** = 2^{4} × 3 × 13, Harshad number, Zuckerman number, twin prime number sum (311 + 313)

**625** = 5^{4} = 25^{2}, Octagon with center,Friedman number(625 = 5^{6-2 }), the sum of 7 consecutive prime numbers (73 + 79 + 83 + 89 + 97 + 101 + 103)

**626** = 2 x 313, non-tortient,Mazda 626 (Japanese name: Capella)

**627** = 3 × 11 × 19 = 9 !! − 8 !! + 7 !! − 6 !! + 5 !! − 4 !! + 3 !! − 2 !! + 1 !! (However, !!Double factorialSymbol), wedge number,Smith Number

**628** = 2^{2} × 157 = 2 × 3.14 × 100, non-tortient,Full numberIs the number that can be arranged. (Online Integer Sequence DictionarySequence of A132928)

**629** = 17 × 37, Harshad number,7-segment displayIn the display ofPoint symmetryIt is a number.

**630** = 2 × 3^{2} × 5 × 7,Triangular number,Hexagon, Harshad number, sum of 6 consecutive prime numbers (97 + 101 + 103 + 107 + 109 + 113)

**631** : Prime number, Chen prime number, triangular number with center, hexagonal number with center

**632** = 2^{3} × 79

**633** = 3 × 211, the sum of three consecutive prime numbers (3 + 199 + 211)

**634** = 2 × 317, Smith number, non-tortient,Tokyo Sky TreeHeight of (m), the song name of.

**635** = 5 × 127, the sum of 9 consecutive prime numbers (53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89)

**636** = 2^{2} × 3 × 53, Smith number, sum of 10 consecutive prime numbers (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83)

**637** = 7^{2} × 13, decagon

**638** = 2 × 11 × 29, wedge number, heptagon with center, nontorient, sum of four consecutive prime numbers (4 + 151 + 157 + 163)

**639** = 3^{2} × 71 = 9^{3} - 9^{2} − 9, sum of the first 20 prime numbers

**640** = 2^{7} × 5, Harshad number

### 641 to 660

**641** : Prime number, twin prime number (641, 643),Euler prime numbers,Sophie Germain prime, Chen prime,Fermat number The *F*_{5} = 2^{25}+ 1 = 4294967297 First time inComposite numberbecome.この数は641をThis number is XNUMXMinimum prime factorluggage.

**642** = 2 × 3 × 107, wedge number

**643** : Prime number, Twin prime number (641, 643)

**644** = 2^{2} × 7 × 23, Harshad number, non-tortient

**645** = 3 × 5 × 43, wedge number, octagonal number, Harshad number, Smith number

**646** = 2 × 17 × 19, wedge number, 6^{3} + 4^{3} + 6^{3} = 496

**647** : Prime number, Chen prime number, sum of 5 consecutive prime numbers (113 + 127 + 131 + 137 + 139)

**648** = 2^{3} × 3^{4} = 9^{3} - 9^{2} = 3^{6} - 3^{4} = 3 × 6^{3} , Harshad number, Smith number,Achilles number.HexadecimalIn 3000_{(6)} become. The previous 1_{(6)} The436, Next 4000_{(6)} The864.

**649** = 11 × 59

**650** = 2 × 5^{2} × 13,Number of quadrangular pyramids,Number of rectangles,Primitive pseudo perfect number, Non-tortient

**651** = 3 × 7 × 31, wedge number,Pentagon, Hexagonal number, 651 = 25^{0} + 25^{1} + 25^{2}, Is the second wedge number that can be represented in this form. The previous one273Next is 1407. It is also the minimum pentagonal number that can be expressed in this form. Next is 5551. Sum of double product perfect numbers 651 = 1 + 6 + 28 + 120 + 496

**652** = 2^{2} × 163, σ(*n*) - *n* Full numberIs the 5st number. The previous one496,next8128.. (Where σ is a divisor function)

**653** : Prime numbers, Sophie-Germain prime numbers, Chen prime numbers

**654** = 2 × 3 × 109, wedge number, Smith number, nontortient

**655** = 5 × 131

**656** = 2^{4} × 41

**657** = 3^{2} × 73 = 1 × (1 + 8) × (1 + 8 + 64)

**658** = 2 x 7 x 47 = 2^{3} + 3^{3} + 4^{3} + 6^{3} + 7^{3} = (3 + 1/2)^{3} + (5 + 1/2)^{3} + (7 + 1/2)^{3} + (11 + 1/2)^{3} + (13 + 1/2)^{3} , Wedge number

**659** : Prime, twin prime (659, 661), Sophie-German prime, Chen prime, sum of 7 consecutive primes (79 + 83 + 89 + 97 + 101 + 103 + 107), 496thDeficient number,7-segment displayIn the display ofPoint symmetryIt is a number.

**660** = 2^{2} × 3 × 5 × 11, Harshad number, sum of 4 consecutive prime numbers (157 + 163 + 167 + 173), 6 consecutive sum of prime numbers (101 + 103 + 107 + 109 + 113 + 127), 8 Sum of consecutive prime numbers (67 + 71 + 73 + 79 + 83 + 89 + 97 + 101)

### 661 to 680

**661** : Prime, twin prime (659, 661), centered decagon,Hexagram, The sum of three consecutive prime numbers (3 + 211 + 223)

**662** = 2 x 331, non-tortient

**663** = 3 × 13 × 17, wedge number, Smith number

**664** = 2^{3} × 83, 6^{3} + 6^{3} + 4^{3} = 496

**665** = 5 × 7 × 19, wedge number

**666** = 2 × 3^{2} × 37, triangular number, Harshad number, Smith number, sum of squares of the first 7 primes (2^{2} + 3^{2} + 5^{2} + 7^{2} + 11^{2} + 13^{2} + 17^{2})

**667** = 23 × 29

**668** = 2^{2} × 167, non-tortient

**669** = 3 × 223

**670** = 2 × 5 × 67, wedge number, nontortient

**671** = 11 × 61

**672** = 2^{5} × 3 × 7, Zuckerman number,Harmonic number

**673** : Prime number

**674** = 2 x 337, non-tortient

**675** = 3^{3} × 5^{2}, Achilles number

**676** = 2^{2} × 13^{2} = 26^{2}

**677** : Prime number, Chen prime number, 677 = 14^{2} + 15^{2} + 16^{2}

**678** = 2 × 3 × 113, wedge number, nontortient

**679** = 7 × 97, the sum of 3 consecutive primes (223 + 227 + 229), the sum of 9 consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97)

**680** = 2^{3} × 5 × 17,Number of triangular pyramids, Non-tortient

### 681 to 699

**681** = 3 × 227, pentagon with center

**682** = 2 × 11 × 31, wedge number, sum of 4 consecutive prime numbers (163 + 167 + 173 + 179), sum of 10 consecutive prime numbers (47 + 53 + 59 + 61 + 67 + 71 + 73 +) 79 + 83 + 89)

**683** =2^{11} + 1/2 + 1 , Prime, Sophie-Germain prime, Chen prime, sum of 5 consecutive primes (127 + 131 + 137 + 139 + 149),Binary numberIn

**684** = 2^{2} × 3^{2} × 19, Harshad number

**685** = 5 x 137, square with center

**686** = 2 × 7^{3}, Non-tortient

**687** = 3 × 229

**688** = 2^{4} × 43, Friedman number (688 = 86 × 8)

**689** = 13 × 53, the sum of 3 consecutive primes (227 + 229 + 233), the sum of 7 consecutive primes (83 + 89 + 97 + 101 + 103 + 107 + 109),7-segment displayIn the display ofPoint symmetryIt is a number.

**690** = 2 × 3 × 5 × 23, Harshad number, Smith number, sum of 6 consecutive prime numbers (103 + 107 + 109 + 113 + 127 + 131)

**691** : Prime numbers, 619 with numbers replaced, prime numbers, Euler prime numbers

**692** = 2^{2} × 173

**693** = 3^{2} × 7 × 11

**694** = 2 × 347, centered triangular number, nontortient

**695** = 5 × 139

**696** = 2^{3} × 3 × 29, the sum of 8 consecutive prime numbers (71 + 73 + 79 + 83 + 89 + 97 + 101 + 103)

**697** = 17 × 41, heptagon

**698** = 2 x 349, non-tortient

**699** = 3 × 233

## Related item

600 | 601 | 602 | 603 | 604 | 605 | 606 | 607 | 608 | 609 |
---|---|---|---|---|---|---|---|---|---|

610 | 611 | 612 | 613 | 614 | 615 | 616 | 617 | 618 | 619 |

620 | 621 | 622 | 623 | 624 | 625 | 626 | 627 | 628 | 629 |

630 | 631 | 632 | 633 | 634 | 635 | 636 | 637 | 638 | 639 |

640 | 641 | 642 | 643 | 644 | 645 | 646 | 647 | 648 | 649 |

650 | 651 | 652 | 653 | 654 | 655 | 656 | 657 | 658 | 659 |

660 | 661 | 662 | 663 | 664 | 665 | 666 | 667 | 668 | 669 |

670 | 671 | 672 | 673 | 674 | 675 | 676 | 677 | 678 | 679 |

680 | 681 | 682 | 683 | 684 | 685 | 686 | 687 | 688 | 689 |

690 | 691 | 692 | 693 | 694 | 695 | 696 | 697 | 698 | 699 |

- The numbers in italics are素 数.