11592
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
- 2
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 37440
- Proper Divisor Sum (Aliquot Sum)
- 25848
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3168
- Möbius Function
- 0
- Radical
- 966
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- 143
- 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 theta series of {E_7}* lattice in powers of q^(1/2).at n=24A003781
- Expansion of theta series of E_7 lattice in powers of q^2.at n=6A004008
- a(n) = floor(Fibonacci(n)/4).at n=24A004697
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/22 ).at n=24A011932
- a(n) = n*(9*n-2).at n=36A013656
- a(n) = Sum_{i=0..n} Sum_{j=0..n} A026626(i,j).at n=12A026635
- a(n) = T(2n+1,n+2), T given by A026747.at n=6A026866
- a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026648.at n=5A026974
- Nonzero coefficients in theta series of {E_7}* lattice.at n=12A030443
- Number of partitions of n^2 into squares.at n=13A037444
- Denominators of continued fraction convergents to sqrt(20).at n=7A041031
- Denominators of continued fraction convergents to sqrt(500).at n=11A041955
- Triangle read by rows: T(n,k) is the number of unlabeled nonseparable (or 2-connected) loopless multigraphs with n edges on k nodes and degree >= 3 at each node, n >= 3, 2 <= k <= floor(2*n/3).at n=49A046752
- a(n) = Product_{d|n, d^2<=n} (d+n/d); a(1)=1.at n=44A050214
- Generalized Stirling number triangle of first kind.at n=33A051151
- Number of 3 x n binary matrices without unit columns up to row and column permutations.at n=32A057524
- McKay-Thompson series of class 12E for the Monster group.at n=26A058483
- Numbers k such that sigma(x) = k has exactly 9 solutions.at n=27A060665
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 19 (most significant digit on right).at n=21A061972
- Numbers k such that the period of the continued fraction for sqrt(5)*k is 2.at n=33A065030