Properties of the Number 23792

Twenty-Three Thousand Seven Hundred Ninety-Two

Basics

Value: 23791 → 23792 → 23793

Parity: even

Prime: No

Previous Prime: 23789

Next Prime: 23801

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 1487

Divisors: 1, 2, 4, 8, 16, 1487, 2974, 5948, 11896, 23792

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101110011110000

Octal: 56360

Duodecimal: 11928

Hexadecimal: 5cf0

Square: 566059264

Square Root: 154.24655587727074

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235098

Irregular table whose rows list the nontrivial cycles of the ghost iteration A329201, starting with the smallest member. A329342

Principal diagonal of the convolution array A213825. A213826

Number of (n+1) X (3+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235093

Number of (n+1) X (5+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235095

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 825", based on the 5-celled von Neumann neighborhood. A273581

G.f. A(x) satisfies: 1 + x = ∑_n>=0 (-1)ⁿ * (xⁿ + A(x))ⁿ⁺¹. A352815

a(n) = a(n-1) + a(n-2) - [a(n-2)/4] - [a(n-4)/2] - [a(n-6)/4]. A173599

Length of nontrivial cycles under the ghost iteration A329201, as listed in the table A329342. A329341

Katadromes: digits in base 11 are in strict descending order. A23792