17376
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 45864
- Proper Divisor Sum (Aliquot Sum)
- 28488
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 1086
- 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
- no
- Harshad Number
- yes
- 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
- Theta series of 8-dimensional strongly 6-modular lattice O(6) with minimal norm 3.at n=35A029720
- a(0) = 1; a(n) is least k with n prime factors and k > n*a(n-1).at n=7A118476
- Partial sums of A120769.at n=42A120770
- Numbers of polypentagons with two connected internal vertices (see Cyvin et al. for precise definition).at n=14A122742
- Triangle read by rows, coefficients of the polynomials P(k, x) = (1/2) Sum_{p=0..k-1} Stirling2(k, p+1)*x^p*(1-4*x)^(k-1-p)*(2*p+2)!/(p+1)!.at n=26A142963
- Number of permutations of 3 indistinguishable copies of 1..n arranged in a circle with exactly 2 local maxima.at n=2A159722
- G.f.: A(x) = exp( Sum_{n>=1} 3*A038500(n) * x^n/n ), where A038500 is the highest power of 3 dividing n.at n=33A161809
- Irregular triangle read by rows: T(n,k), n >= 2, 1 <= k <= n/2, = number of rooted forests with n nodes and k trees, with at least two nodes in each tree.at n=43A174135
- Wiener index of the Moebius ladder M(n).at n=31A180857
- Number of partial binary words of length n without a critical factorization.at n=7A182075
- Number of nondecreasing -n..n vectors of length 3 whose dot product with some nonincreasing -n..n vector equals 3.at n=23A226400
- Number of (n+1)X(2+1) arrays of permutations of 0..n*2-1 with each element moved a city block distance of exactly 2.at n=3A263386
- Number of (n+1)X(4+1) arrays of permutations of 0..n*4-1 with each element moved a city block distance of exactly 2.at n=1A263388
- T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..n*k-1 with each element moved a city block distance of exactly 2.at n=11A263389
- T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..n*k-1 with each element moved a city block distance of exactly 2.at n=13A263389
- Product of n-th prime and the sum of the divisors of n.at n=41A272211
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 398", based on the 5-celled von Neumann neighborhood.at n=48A288014
- Coefficients in expansion of 1/E_2.at n=3A288816
- The second Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.2).at n=15A292345
- Triangle T(n,k) of the numbers of k-matchings in the n-hypercube graph (0 <= k <= 2^(n-1)).at n=38A302235