11904
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 32640
- Proper Divisor Sum (Aliquot Sum)
- 20736
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 186
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 24
- 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 directed Hamiltonian circuits on n-octahedron with a marked starting node.at n=2A003435
- tanh(sec(x)*arcsinh(x))=x-504/7!*x^7+11904/9!*x^9-1023616/11!*x^11...at n=4A012829
- a(n) = Product_{i=1..n} (5^i - 1).at n=3A027872
- Sorted k-factorial numbers (numbers of form k-1 excluded).at n=28A028687
- Sorted factorial and k-factorial numbers (numbers of form k-1 excluded).at n=34A028688
- Composite numbers x such that sigma(x+120) = sigma(x)+120.at n=24A054985
- Numbers k such that k | sigma_3(k) - phi(k)^3.at n=16A055697
- Numbers n such that n | (sigma_5(n) - phi(n)^5).at n=21A055699
- a(n) = 12*n*(n-1).at n=32A064200
- Coefficients in expansion of Eisenstein series -q*E'_2.at n=15A076835
- Deterministic completely defined quasi-acyclic automata with 3 inputs, n transient and k absorbing labeled states.at n=17A082170
- Number of subsets of integers 1 through n (including the empty set) containing no pair of integers that share a common factor.at n=26A084422
- a(1) = 1, a(n) = smallest multiple of n such that the concatenation (n>1) a(n)a(n-1)... a(2) a(1) is a prime.at n=31A089330
- Triangle T, read by rows, such that T(n,k) equals the (n-k)-th row sum of T^k, where T^k is the k-th power of T as a lower triangular matrix.at n=48A091351
- Row sums of the matrix cube of triangle A091351, in which the k-th column lists the row sums of A091351^k (the k-th power of A091351 when considered as a lower triangular matrix).at n=6A091354
- Triangle, read by rows, such that T(n,k) equals the k-th term of the convolution of the (n-1)-th diagonal with the k-th row of this triangle.at n=51A098446
- Unreduced numerators of the elements T(n,k)/(n-k)!, read by rows, of the triangular matrix P^-1, which is the inverse of the matrix defined by P(n,k) = (-k^3)^(n-k)/(n-k)! for n >= k >= 1.at n=18A103241
- Triangular matrix T, read by rows, that satisfies: SHIFT_LEFT_UP(T) = T^2 - T + I, or, equivalently: T(n+1,k+1) = [T^2](n,k) - T(n,k) + [T^0](n,k) for n>=k>=0, with T(0,0)=1.at n=58A104445
- Number of partitions that are "3-close" to being self-conjugate.at n=42A108962
- Number of real n X n symmetric (+1,-1) matrices with positive permanent.at n=4A118995