9256
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18900
- Proper Divisor Sum (Aliquot Sum)
- 9644
- 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
- 4224
- Möbius Function
- 0
- Radical
- 2314
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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 partitions into non-integral powers.at n=37A000327
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=58A011902
- 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 47.at n=28A031545
- Number of binary [ n,5 ] codes without 0 columns.at n=12A034346
- a(n) = ceiling(n*(n+1)*(n+2)/8).at n=41A047866
- Number of atoms in cluster of n layers around C_60.at n=13A063498
- Coefficient of q^1 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(1,2).at n=12A074352
- Start with 1 and repeatedly reverse the digits and add 48 to get the next term.at n=16A118160
- Start with 1 and repeatedly reverse the digits and add 24 to get the next term.at n=44A118610
- Number of planar n X n X n binary triangular grids symmetric under 120-degree rotation with no more than 1 one in any 2 X 2 X 2 subtriangle.at n=12A153896
- Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock summing to 6.at n=4A183635
- Number of (n+1) X 6 0..3 arrays with every 2 X 2 subblock summing to 6.at n=1A183638
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 6.at n=16A183642
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 6.at n=19A183642
- Number of nondecreasing arrangements of 6 numbers x(i) in -(n+4)..(n+4) with the sum of sign(x(i))*2^|x(i)| zero.at n=27A187990
- Number of rhombuses on a (n+1)X8 grid.at n=36A190096
- Last occurrence of n partitions in A204814.at n=14A205301
- Sophie Germain 5-almost primes.at n=9A211162
- a(n) = n*(5*n^2-8*n+5)/2.at n=16A226449
- Number of partitions of n such that (greatest part) + (least part) = number of parts.at n=49A237869