Properties of the Number 53487

Fifty-Three Thousand Four Hundred Eighty-Seven

Basics

Value: 53486 → 53487 → 53488

Parity: odd

Prime: No

Previous Prime: 53479

Next Prime: 53503

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 283

Divisors: 1, 3, 7, 9, 21, 27, 63, 189, 283, 849

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000011101111

Octal: 150357

Duodecimal: 26B53

Hexadecimal: d0ef

Square: 2860859169

Square Root: 231.27256646649641

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 read by rows: coefficients of expansion in powers of·of the polynomials defined by p(n, x) = (2·n - 1)*p(n - 1, x) + (n - 1)²*x²*p(n - 2, x). A123244

Number of (n+2) X (1+2) 0..1 arrays with no 3·3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255785

E.g.f.: exp(4x)/(1-x). A53487

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255792