10104
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 25320
- Proper Divisor Sum (Aliquot Sum)
- 15216
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 0
- Radical
- 2526
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 179
- 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
- Number of ways of writing n as a sum of 6 squares.at n=29A000141
- a(n) = Sum_{k=0..n} (k+1) * A026659(n,k).at n=10A026980
- Expansion of (eta(q) / eta(q^7))^4 in powers of q.at n=45A030181
- Positive numbers having the same set of digits in base 6 and base 10.at n=20A037437
- Numbers whose base-10 representation has exactly 5 runs.at n=3A043641
- McKay-Thompson series of class 7B for the Monster group.at n=45A052240
- Number of ways of numbering the faces of a cube with nonnegative integers so that the sum of the 6 numbers is n.at n=28A054473
- Number of orbits of length n under the map whose periodic points are counted by A000364.at n=4A060164
- Sum of prime factors of Lucas numbers A000032(n),n=0, n>=2, with n=1 term added.at n=33A070827
- A square array of quadratic-factorial numbers, read by antidiagonals.at n=49A082038
- Expansion of e.g.f. x*exp(4*x)*cosh(x).at n=6A082135
- Numbers k such that for any single digit d of k the d-th semiprime sp(k) is substring of k.at n=20A135441
- A functionally symmetric Polynomial as a triangle of coefficients: p(x,n)=If[n == 0, 1, (x + 1)^n + 2^(n - 4)*Sum[(2^m + 2*m )*x^m*(1 + x^(n - 2*m)), {m, 1, n - 1}]].at n=58A146955
- 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, -1, 0), (-1, -1, 1), (-1, 1, -1), (0, 1, 0), (1, -1, 0)}.at n=11A148047
- 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, -1, 1), (-1, 1, -1), (1, -1, 0), (1, 1, -1), (1, 1, 0)}.at n=9A148638
- Renewal array for 1/(x+sqrt(1-4x)).at n=47A155788
- a(n) = Sum of all numbers of divisors of all numbers < (n+1)^2.at n=35A168011
- Numbers that are carryless squares in base 10.at n=54A169889
- Squares in lunar arithmetic in base 5 written in base 5.at n=29A171564
- Squares in lunar arithmetic in base 6 written in base 6.at n=40A171591