Properties of the Number 55452

Fifty-Five Thousand Four Hundred Fifty-Two

Basics

Value: 55451 → 55452 → 55453

Parity: even

Prime: No

Previous Prime: 55441

Next Prime: 55457

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 4621

Divisors: 1, 2, 3, 4, 6, 12, 4621, 9242, 13863, 18484

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101100010011100

Octal: 154234

Duodecimal: 28110

Hexadecimal: d89c

Square: 3074924304

Square Root: 235.48248342498854

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

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2·k if k <= floor(n/2) otherwise 2*(n-k), and m = 2, read by rows. A157277

T(n,k)=Number of nXk 0..2 arrays with some element plus some horizontally or vertically adjacent neighbor totalling two no more than once. A268628

Number of n X n 0..2 arrays with some element plus some horizontally or vertically adjacent neighbor totaling two no more than once. A268621

Number of n X 4 0..2 arrays with some element plus some horizontally or vertically adjacent neighbor totalling two no more than once. A268624

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 389", based on the 5-celled von Neumann neighborhood. A271595

a(n) = T(n,n-2), array T as in A055450. A55452

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically. A253397