17696
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 22624
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7488
- Möbius Function
- 0
- Radical
- 1106
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 141
- 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
- Logarithmic numbers.at n=6A002742
- Expansion of e.g.f. exp(sinh(x) + sin(x)).at n=10A013025
- Expansion of Product_{m>=1} (1+x^m)^16.at n=5A022581
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 38.at n=6A031716
- Numbers n such that n | sigma_13(n).at n=29A055717
- Number of partitions of n with positive rank.at n=39A064173
- Difference between n-th Fibonacci number and floored n-th power of Viswanath's constant.at n=21A140443
- a(n) = 49*n^2 + 7.at n=18A158481
- a(n) = Least i in range [A165598(n),A165598(n+1)] for which abs(A165597(i)) gets the maximum value in that range.at n=1A165599
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w<x+y.at n=32A182260
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2*w^2 < x^2 + y^2.at n=31A211800
- Number of nX5 0..2 arrays with exactly floor(nX5/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=4A222670
- T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=40A222673
- Number of partitions p of n such that median(p) > multiplicity(max(p)).at n=38A240210
- Triangle read by rows: T(n,k) = logarithmic polynomial G_k^(n)(x) evaluated at x=1.at n=29A260322
- Triangle read by rows: T(n,k) = logarithmic polynomial G_k^(n)(x) evaluated at x=-1.at n=29A260323
- Triangle read by rows, T(n,k) = Sum_{j=0..n} C(n,j)*L(j,k), L the unsigned Lah numbers A271703, for n>=0 and 0<=k<=n.at n=41A271705
- Number of length-n binary words having no nontrivial prefix that is a palindrome of odd length.at n=15A308528
- Number of squarefree parts in the partitions of n into 10 parts.at n=37A309464
- T(n, k) = (n + 1)*2^(n + k)*hypergeom([-n, k - n + 1], [2], 1/2), triangle read by rows for 0 <= k <= n.at n=23A337617