16614
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
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 39312
- Proper Divisor Sum (Aliquot Sum)
- 22698
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 0
- Radical
- 5538
- Omega Function (Ω)
- 5
- 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
- 66
- 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
- Fibonacci sequence beginning 2, 26.at n=15A022375
- a(n) = T(2*n, n-2), where T is given by A026519.at n=7A026527
- Duplicate of A026527.at n=7A026544
- Number of compositions of n such that the least part occurs with odd multiplicity.at n=15A105200
- G.f.: A(x) = exp( Sum_{n>=1} x^n/n * 2^(n^2)/(1 + 2^(n^2)*x^n) ).at n=4A158096
- Number of nXnXn triangular 0..6 arrays with no element equal to the product mod 7 of any two neighbors.at n=2A193371
- The 180-degree spoke (or ray) of a hexagonal spiral of Ulam.at n=37A244806
- Number of length 1+2 0..n arrays with no three consecutive terms having the sum of any two elements equal to twice the third.at n=24A248462
- Number of pairs (not necessarily successors) of partitions of n that are incomparable in dominance (natural, majorization) ordering.at n=16A248476
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 214", based on the 5-celled von Neumann neighborhood.at n=35A270907
- Number A(n,k) of n-element subsets of [k*n] whose elements sum to a multiple of n. Square array A(n,k) with n, k >= 0 read by antidiagonals.at n=62A304482
- Number of n-element subsets of [3n] whose elements sum to a multiple of n.at n=7A318431
- Number of unlabeled lone-child-avoiding rooted trees with n vertices and more than two branches (of the root).at n=19A331488
- a(n) is the least number x such that x^2 + 1 and 2^x + 1 are both divisible by A387595(n).at n=31A387642