624
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 1736
- Proper Divisor Sum (Aliquot Sum)
- 1112
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 192
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 38
- 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
- sechshundertvierundzwanzig· ordinal: sechshundertvierundzwanzigste
- English
- six hundred twenty-four· ordinal: six hundred twenty-fourth
- Spanish
- seiscientos veinticuatro· ordinal: 624º
- French
- six cent vingt-quatre· ordinal: six cent vingt-quatrième
- Italian
- seicentoventiquattro· ordinal: 624º
- Latin
- sescenti viginti quattuor· ordinal: 624.
- Portuguese
- seiscentos e vinte e quatro· ordinal: 624º
Appears in sequences
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=45A000118
- Number of free planar polyenoids with n nodes.at n=9A000942
- Numbers k such that (k / product of digits of k) is 1 or a prime.at n=16A001103
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25 cents.at n=58A001301
- Number of irreducible polynomials of degree n over GF(5); dimensions of free Lie algebras.at n=5A001692
- Related to Zarankiewicz's problem.at n=33A001841
- Sinh(x) / cos(x) = Sum_{n>=0} a(n)*x^(2n+1)/(2n+1)!.at n=3A002084
- Number of ways of getting a royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or nothing in 5-card poker.at n=2A002761
- Number of ways of getting nothing, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, or a royal flush in 5-card poker.at n=7A002806
- Number of ways of getting a straight flush, 4 of a kind, full house, flush, straight, 3 of a kind, 2 pair, a pair, no pair in poker.at n=1A002847
- Dimensions of split simple Lie algebras over any field of characteristic zero.at n=55A003038
- Number of rooted trees with n vertices in which vertices at the same level have the same degree.at n=34A003238
- Expansion of e.g.f. exp(x)/cos(x).at n=7A003701
- Inverse Möbius transform of A003961; a(n) = sigma(A003961(n)), where A003961 shifts the prime factorization of n one step towards the larger primes.at n=59A003973
- Inverse Möbius transform of A003961; a(n) = sigma(A003961(n)), where A003961 shifts the prime factorization of n one step towards the larger primes.at n=53A003973
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=17A004210
- Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function (A001065).at n=49A005114
- Expansion of (1-x+x^2)/((1-x)^2*(1-x^2)*(1-x^4)).at n=28A005232
- Maximal sum of inverse squares of the singular values of symmetric anti-Hadamard matrices of order n.at n=6A005312
- a(n) = n*(n+2) = (n+1)^2 - 1.at n=24A005563