508
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
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 896
- Proper Divisor Sum (Aliquot Sum)
- 388
- 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
- 252
- Möbius Function
- 0
- Radical
- 254
- Omega Function (Ω)
- 3
- 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
- 48
- 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
- fünfhundertacht· ordinal: fünfhundertachtste
- English
- five hundred eight· ordinal: five hundred eighth
- Spanish
- quinientos ocho· ordinal: 508º
- French
- cinq cent huit· ordinal: cinq cent huitième
- Italian
- cinquecentootto· ordinal: 508º
- Latin
- quingenti octo· ordinal: 508.
- Portuguese
- quinhentos e oito· ordinal: 508º
Appears in sequences
- a(n) = Sum_{k=0..n} p(k) where p(k) = number of partitions of k (A000041).at n=14A000070
- Numbers that are the sum of 2 successive primes.at n=53A001043
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 20, 50 cents.at n=52A001313
- Primes multiplied by 4.at n=30A001749
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=19A001994
- Absolute value of Glaisher's beta'(2n+1).at n=30A002291
- Continued fraction for cube root of 6.at n=6A002949
- a(n) = A001950(A003234(n)) + 1.at n=52A003249
- Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (0,2).at n=5A003290
- Number of (undirected) Hamiltonian paths in the n-ladder graph K_2 X P_n.at n=22A003682
- Expansion of (1 + x - x^5) / (1 - x)^3.at n=27A004120
- a(n) = floor(100*log_2(n)).at n=33A004262
- Number of partitions of 3n into powers of 3.at n=36A005704
- Expansion of x*(1+x-x^2)/((1-x)^4*(1+x)).at n=16A005744
- a(n) = a(n-1) + 3*a(n-2) for n > 1, a(0) = a(1) = 1.at n=8A006130
- Numbers k such that k^8 + 1 is prime.at n=18A006314
- Numbers n such that n! has a square number of digits.at n=20A006488
- Record number of steps to reach 1 in '3x+1' problem, corresponding to starting values in A006877.at n=42A006878
- Number of free subsets of multiplicative group of GF(2^n).at n=9A007230
- Apocalyptic powers: 2^a(n) contains 666.at n=30A007356