16224
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
- 4
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 46116
- Proper Divisor Sum (Aliquot Sum)
- 29892
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4992
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 8
- 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
- 40
- 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
- Numbers n such that n / product of digits of n is a square.at n=18A001104
- a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| <= 1 for i = 1,2,...,n, s(0) = 2, s(2n) = n+1. Also a(n) = T(2n,n+1), where T is the array in A026323.at n=6A026330
- a(n) = n + (n+1)^2 + (n+2)^3.at n=23A027620
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 13 (most significant digit on left).at n=38A029458
- 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 63.at n=32A031561
- Multiplicity of highest weight (or singular) vectors associated with character chi_43 of Monster module.at n=38A034431
- Numbers k such that sigma(x) = k has exactly 9 solutions.at n=37A060665
- (n / product of digits of n) is a semiprime.at n=37A085773
- a(n) = n!*2^(n+1) * (Integral_{x = 0..1} 1/(1+x^2)^(n+1) dx) - Pi*(2*n)!/(2^(n+1)*n!).at n=6A087547
- The sum of a triangular array made from a negative 6 fold permutation product with shifts up and down of {2,6}.at n=38A105162
- Exponential aspiring numbers.at n=28A127658
- a(n) = n*(n+2)^2.at n=24A152619
- Symmetrical Hahn weights on q-form factorials:m=2;q=3; q-form:t(n,m)=If[m == 0, n!, Product[Sum[(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]]; Hahn weight:b(n,k,m)=If[n == 0, 1, (n!*t[m + 1, k]*t[m + 1, n - k])/(k!*(n - k)!*t[1, n])].at n=12A157321
- a(n) = Sum_{k=0..n} A109613(k)*A005843(n-k).at n=36A171218
- Numbers p^5*q^2*r where p, q, r are 3 distinct primes.at n=28A179691
- a(n) = 24*n^2.at n=26A195824
- Number of (n+1) X 3 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock equal to the number in all its horizontal and vertical neighbors.at n=42A206261
- Number of 0..7 arrays x(0..n-1) of n elements with each no smaller than the sum of its two previous neighbors modulo 8.at n=5A207099
- Number of 0..n arrays x(0..5) of 6 elements with each no smaller than the sum of its two previous neighbors modulo (n+1).at n=6A207103
- Number of nX6 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 1 vertically.at n=4A208011