1624
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 3600
- Proper Divisor Sum (Aliquot Sum)
- 1976
- 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
- 672
- Möbius Function
- 0
- Radical
- 406
- Omega Function (Ω)
- 5
- 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
- 42
- Smith Number
- no
- Vampire 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
Appears in sequences
- Unsigned Stirling numbers of first kind s(n,3).at n=4A000399
- Stirling numbers of first kind s(n+4, n).at n=2A000915
- 2nd differences are periodic.at n=29A002082
- Logarithmic numbers: expansion of the e.g.f. -log(1-x) * e^(-x).at n=8A002741
- The limiting sequence [A259095(r(r+1)/2-s,r), s=0,1,2,...,r-1] for very large r.at n=27A005576
- a(n) = a(n-1) + a(n-7), with a(i) = 1 for i = 0..6.at n=36A005709
- Number of strict 7th-order maximal independent sets in path graph.at n=48A007386
- Coordination sequence T5 for Zeolite Code EUO.at n=25A008100
- Coordination sequence T2 for Zeolite Code MOR.at n=26A008183
- Coordination sequence T1 for Zeolite Code YUG.at n=26A008247
- Triangle read by rows of Stirling numbers of first kind, s(n,k), n >= 1, 1 <= k <= n.at n=23A008275
- Triangle of Stirling numbers of first kind, s(n, n-k+1), n >= 1, 1 <= k <= n. Also triangle T(n,k) giving coefficients in expansion of n!*binomial(x,n)/x in powers of x.at n=25A008276
- a(n) = floor(n*(n-1)*(n-2)/15).at n=30A011897
- Pisot sequence E(9,19), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].at n=7A014005
- Numbers n such that phi(n + 1) | sigma(n) for n congruent to 1 (mod 3).at n=13A015817
- Expansion of g.f. 1/((1-4*x)*(1-10*x)).at n=3A016157
- Expansion of 1/(1 - x^7 - x^8 - ...).at n=43A017901
- Theta series of D_29 lattice.at n=1A022060
- Theta series of D*_29 lattice.at n=8A022082
- First row of spectral array W(e-1).at n=17A022161