10872
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 29640
- Proper Divisor Sum (Aliquot Sum)
- 18768
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3600
- Möbius Function
- 0
- Radical
- 906
- Omega Function (Ω)
- 6
- 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
- 68
- 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
- Expansion of (1-x)^sin(x).at n=9A007119
- Number of partitions of n into parts not of the form 15k, 15k+4 or 15k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=37A035958
- G.f.: (x+4*x^3+x^5)/((1-x)^2*(1-x^2)^2*(1-x^3)^2).at n=21A083708
- Triangle read by rows: T(i,j) = (T(i-1,j) + i)*i.at n=32A121682
- Expansion of ((x-1)*sqrt(1-4*x^2))/((x-1)*sqrt(1-4*x^2)+x).at n=11A190788
- Total sum of even parts in the last section of the set of partitions of n.at n=27A206436
- E.g.f.: exp(4*x*G(x)^3) / G(x) where G(x) = 1 + x*G(x)^4 is the g.f. of A002293.at n=4A251664
- Numbers k such that k^2 + 1 = p*q*r*s where p,q,r,s are distinct primes and the sum p+q+r+s is a perfect square.at n=40A261530
- Expansion of Product_{k>=0} 1/(1-x^(4*k+1))^2.at n=47A261629
- Number of permutations p of [n] such that 0p has a nonincreasing jump sequence beginning with six.at n=5A292172
- Number of permutations p of [2n+1] such that 0p has a nonincreasing jump sequence beginning with n+1.at n=5A303203
- Number of permutations p of [n] such that 0p has a nonincreasing jump sequence beginning with ceiling(n/2).at n=11A303204
- Triangle of Touchard's chord enumerating polynomial coefficients [x^k] P_n(x).at n=52A322456
- Positions of +4's in A346242.at n=32A354814
- Irregular triangle read by rows: T(n,k) (0 <= k <= n^2) are coefficients of cluster density function for site percolation on an n X n 2D triangular lattice with periodic boundary conditions.at n=23A365940
- Irregular triangle read by rows: T(n,k) (0 <= k <= n^2) are coefficients of cluster density function for site percolation on an n X n 2D square lattice with periodic boundary conditions.at n=23A365941