517
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 576
- Proper Divisor Sum (Aliquot Sum)
- 59
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 460
- Möbius Function
- 1
- Radical
- 517
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 123
- Smith Number
- yes
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- fünfhundertsiebzehn· ordinal: fünfhundertsiebzehnste
- English
- five hundred seventeen· ordinal: five hundred seventeenth
- Spanish
- quinientos diecisiete· ordinal: 517º
- French
- cinq cent dix-sept· ordinal: cinq cent dix-septième
- Italian
- cinquecentodiciassette· ordinal: 517º
- Latin
- quingenti septendecim· ordinal: 517.
- Portuguese
- quinhentos e dezessete· ordinal: 517º
Appears in sequences
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)).at n=27A001304
- Number of ways of making change for n cents using coins of 1, 2, 4, 10 cents.at n=55A001362
- Number of ways of making change for n cents using coins of 1, 2, 4, 10 cents.at n=54A001362
- Numbers k such that 15*2^k + 1 is prime.at n=17A002258
- Let p = A007645(n) be the n-th generalized cuban prime and write p^2 = x^2 + 3*y^2 with y > 0; a(n) = x.at n=46A002367
- Numbers that are the sum of 7 positive 4th powers.at n=44A003341
- Numbers that are the sum of 9 positive 7th powers.at n=4A003376
- Numbers that are the sum of 7 nonzero 8th powers.at n=2A003385
- Numbers that are the sum of 6 positive 9th powers.at n=1A003395
- a(1) = 1; for n>1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=34A003508
- Pentagonal numbers written backwards.at n=22A004163
- a(0) = 1, a(n) = sum of digits of all previous terms.at n=51A004207
- a(n) = round(100*log_2(n)).at n=35A004263
- a(n) = ceiling(100*log_2(n)).at n=35A004264
- Numbers that are the sum of at most 9 positive 7th powers.at n=39A004871
- Numbers that are the sum of at most 10 positive 7th powers.at n=43A004872
- Numbers that are the sum of at most 11 positive 7th powers.at n=47A004873
- Numbers that are the sum of at most 12 positive 7th powers.at n=51A004874
- Numbers that are the sum of at most 7 nonzero 8th powers.at n=20A004880
- Numbers that are the sum of at most 8 nonzero 8th powers.at n=22A004881