17152
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 34748
- Proper Divisor Sum (Aliquot Sum)
- 17596
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8448
- Möbius Function
- 0
- Radical
- 134
- Omega Function (Ω)
- 9
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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
- Numbers that are the sum of 7 positive 7th powers.at n=42A003374
- Number of points on surface of truncated tetrahedron: a(n) = 14*n^2 + 2 for n > 0, a(0)=1.at n=35A005905
- a(n) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.at n=32A011934
- Expansion of tan(x)*sin(sinh(x))/2.at n=5A024250
- Numbers that are the sum of 4 nonzero squares in exactly 10 ways.at n=46A025366
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 65.at n=35A031563
- Dirichlet convolution of powers of 2 (2,4,8,...) with themselves.at n=11A034713
- Revert transform of (3x^2 - 1)/(-1 - x + 2x^2 + x^3).at n=9A049129
- Permutation of N induced by rotating the node 2 left in the infinite planar binary tree shown at A065658.at n=38A065663
- Binomial transform of A084263.at n=10A084264
- Replace 0 with 0000 in binary representation of n.at n=43A084473
- Binomial transform of hexagonal pyramidal numbers A002412.at n=8A085385
- Triangle, read by rows, of trinomial coefficients arranged so that there are n+1 terms in row n by setting T(n,k) equal to the coefficient of z^k in (2 + 3*z + z^2)^(n-[k/2]), for n>=k>=0, where [k/2] is the integer floor of k/2.at n=47A099527
- Composite numbers k that divide 3^k - 2^k - 1, excluding powers of 2, 3 and 7.at n=29A127073
- a(n) = 4*(4 + 9*n^2 + 15*n).at n=21A144449
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, -1, 0), (1, 1, 0), (1, 1, 1)}.at n=7A151023
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 0), (-1, 1), (0, -1), (0, 1), (1, -1), (1, 0)}.at n=8A151483
- Numbers k such that k, k + 1 and k + 2 are 3 consecutive Harshad numbers.at n=40A154701
- Genlex listings of (s,t)-combination strings possessing the revolving-door property.at n=24A155971
- Products of the 8th power of a prime and a distinct prime (p^8*q).at n=18A179668