564
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1344
- Proper Divisor Sum (Aliquot Sum)
- 780
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 184
- Möbius Function
- 0
- Radical
- 282
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 17
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Names
- German
- fünfhundertvierundsechzig· ordinal: fünfhundertvierundsechzigste
- English
- five hundred sixty-four· ordinal: five hundred sixty-fourth
- Spanish
- quinientos sesenta y cuatro· ordinal: 564º
- French
- cinq cent soixante-quatre· ordinal: cinq cent soixante-quatrième
- Italian
- cinquecentosessantaquattro· ordinal: 564º
- Latin
- quingenti sexaginta quattuor· ordinal: 564.
- Portuguese
- quinhentos e sessenta e quatro· ordinal: 564º
Appears in sequences
- Number of odd integers <= 2^n of form x^2 + y^2.at n=11A000074
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25 cents.at n=56A001301
- Numbers k such that (k^2 + k + 1)/7 is prime.at n=47A002641
- High temperature series for spin-1/2 Ising specific heat on 3-dimensional simple cubic lattice.at n=2A002916
- Numbers that are the sum of 12 positive 5th powers.at n=26A003357
- Triangular numbers written backwards.at n=30A004158
- a(n) = round(n*phi^8), where phi is the golden ratio, A001622.at n=12A004943
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=12A004963
- Representation degeneracies for Neveu-Schwarz strings.at n=11A005297
- Numbers whose ternary expansion contains no 1's.at n=46A005823
- Number of axially symmetric polyominoes with n cells.at n=12A006746
- Discriminants of totally real cubic fields.at n=12A006832
- a(n) = denominator of Bernoulli(2n)/(2n).at n=22A006953
- Number of primes <= 2^n.at n=12A007053
- Apocalyptic powers: 2^a(n) contains 666.at n=36A007356
- Numbers k such that phi(x) = k has exactly 3 solutions.at n=22A007367
- Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620).at n=26A007621
- Coordination sequence T1 for Zeolite Code ATT.at n=17A008041
- Coordination sequence T2 for Zeolite Code ATT.at n=17A008042
- Coordination sequence T2 for Zeolite Code EPI.at n=15A008091