Properties of the Number 55447

Fifty-Five Thousand Four Hundred Forty-Seven

Basics

Value: 55446 → 55447 → 55448

Parity: odd

Prime: No

Previous Prime: 55441

Next Prime: 55457

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 × 89 ²

Divisors: 1, 7, 89, 623, 7921, 55447

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100010010111

Octal: 154227

Duodecimal: 28107

Hexadecimal: d897

Square: 3074369809

Square Root: 235.47186668474856

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

Number of n X n binary matrices with no 2 adjacent 1's, or number of configurations of non-attacking princes on an n X n board, where a "prince" attacks the four adjacent (non-diagonal) squares. Also number of independent vertex sets in an n X n grid. A6506

Table T(n,k) of the number of n X k matrices on {0,1} without adjacent 0's in any row or column. A89934

Starts of runs of exactly 6 consecutive nonsquarefree numbers. A49535

Numbers k such that σ(k) = ψ(k) + τ(k) + ω(k). A386637

Array read by antidiagonals: T(n,k) = number of n X k binary matrices with no initial bit string in any row or column divisible by 4. A181031

Number of 5 X n matrices with entries {0,1} without adjacent 0's in any row or column. 5th row of A089934. A89936

Array read by antidiagonals: T(n,m) = number of independent sets in the grid graph P_n X P_m. A89980

Main diagonal of Unlucky array: a(n) = A255543(n,n). A255549

Numbers n such that 167·2ⁿ+1 is prime. A32460

Numerator of Euler(n, 1/9). A156206