2992
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 6696
- Proper Divisor Sum (Aliquot Sum)
- 3704
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1280
- Möbius Function
- 0
- Radical
- 374
- 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
- 48
- 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
- High temperature series for spin-1/2 Ising specific heat on 3-dimensional simple cubic lattice, divided by 3.at n=3A001408
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=31A005993
- a(n) = n*(n+1)*(2*n+1)/3.at n=16A006331
- If n mod 2 = 0 then n*(n^2-4)/12 else n*(n^2-1)/12.at n=33A006584
- Coefficients of Legendre polynomials.at n=2A006750
- a(n) = a(n-1) + a(n-1-(number of odd terms so far)).at n=28A007604
- Coordination sequence T3 for Zeolite Code AFO.at n=36A008017
- Coordination sequence T5 for Zeolite Code PAU.at n=40A008223
- Coordination sequence T6 for Zeolite Code PAU.at n=40A008224
- Coordination sequence T4 for Zeolite Code SGT.at n=34A008232
- Coordination sequence T2 for Moganite, also for BGB1.at n=35A008259
- Triangle of coefficients of expansions of powers of x in terms of Legendre polynomials P_n(x) over common denominator.at n=27A008317
- Triangle T(n,k), n>=1, read by rows, where T(n,k) is the number of lattice polygons with area n and perimeter 2*k.at n=24A008855
- Coordination sequence T1 for Zeolite Code RSN.at n=36A009885
- Coordination sequence T4 for Zeolite Code RUT.at n=36A009900
- Coordination sequence for sigma-CrFe, Position Xc.at n=14A009961
- a(n) = floor(n*(n-1)*(n-2)/12).at n=34A011894
- Eight iterations of Reverse and Add are needed to reach a palindrome.at n=12A015988
- a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2).at n=31A023855
- a(n) = 1*(n+1-1) + 2*(n+1-2) + ... + k*(n+1-k), where k = floor((n+1)/2).at n=30A023856