16284
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 24036
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5104
- Möbius Function
- 0
- Radical
- 8142
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 159
- 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 conjugacy classes in GL(n,2).at n=14A006951
- Subtract compositions (A011782) from Catalan numbers (A000108).at n=10A125107
- A156977/3.at n=19A164565
- Number of 3 X 3 magilatin squares with positive values and magic sum n.at n=18A173549
- Wiener index of the n-web graph.at n=22A180576
- Monotonic ordering of nonnegative differences 2^i-10^j, for 40>= i>=0, j>=0.at n=37A192124
- Monotonic ordering of nonnegative differences 4^i-10^j, for 40>=i>=0, j>=0.at n=19A192171
- Number of (n+2) X 3 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals.at n=24A202440
- Number of n X 5 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically.at n=6A207400
- Number of 7Xn 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically.at n=4A207407
- G.f. satisfies: A(x) = 1 + x*A(x)*A(-x) + x^2*A(x)/A(-x).at n=17A209199
- a(n) = 4*n*(n^2 + 2)/3.at n=23A217873
- Number of cyclotomic cosets of 13 mod 10^n.at n=45A221855
- Number of compatible Parke-Taylor factors for the graph obtained by combining one triangle with a regular n-gon.at n=4A283328
- A(n, k) = A309522(n, k) - A327001(n, k) for n >= 0 and k >= 3, square array read by ascending antidiagonals.at n=35A327000
- Numbers k such that the second k binary digits of Pi represent a prime (leading zeros allowed).at n=10A333649
- Number of tilings of a 5 X n rectangle using n pentominoes of shapes N, U, Z.at n=31A358933