10880
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 27540
- Proper Divisor Sum (Aliquot Sum)
- 16660
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4096
- Möbius Function
- 0
- Radical
- 170
- Omega Function (Ω)
- 9
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 16
- 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 different ways one can attack all squares on an n X n chessboard with the smallest number of non-attacking queens needed.at n=28A002568
- a(n) = 2^(n-1)*(2^n - (-1)^n)/3.at n=8A003683
- Degrees of irreducible representations of Held group He.at n=21A003912
- Theta series of {D_6}* lattice.at n=39A008425
- a(n) = n^2*(n^2 - 1)/6.at n=16A008911
- Number of Barlow packings with group P3(bar)m1(S) that repeat after 2n layers.at n=16A011951
- Number of Barlow packings with group P3(bar)m1(O) that repeat after 2n layers.at n=12A011952
- Numbers that are the sum of 4 nonzero squares in exactly 7 ways.at n=38A025363
- a(n) = T(2n,n-1), where T is defined in A026022.at n=7A026030
- Number of plane regions after drawing (in general position) a convex n-gon and all its diagonals.at n=22A027927
- Second pentagonal numbers with odd index: a(n) = (2*n-1)*(3*n-1).at n=43A033568
- Number of ways to partition 2n into distinct positive integers.at n=30A035294
- Numbers having four 2's in base 6.at n=32A043380
- Numbers whose base-4 representation contains exactly three 0's and four 2's.at n=19A045056
- Numbers k that divide sigma(k) * phi(k) and are not divisible by 6.at n=39A047630
- T(n,k) = S(2n,n-1,k-1), 0 <= k <= n, n >= 0, array S as in A050157.at n=40A050160
- T(n, k) = S(2n+2, n+2, k+2) for 0<=k<=n and n >= 0, array S as in A050157.at n=31A050163
- Numbers with exactly 2 odd integers in their Collatz (or 3x+1) trajectory.at n=38A062052
- Triangle of coefficients of polynomials (rising powers) useful for convolutions of A001333(n+1), n >= 0 (associated Pell numbers).at n=13A062133
- Numbers k such that sigma(phi(k)) is a prime.at n=28A062514