Properties of the Number 52497

Fifty-Two Thousand Four Hundred Ninety-Seven

Basics

Value: 52496 → 52497 → 52498

Parity: odd

Prime: No

Previous Prime: 52489

Next Prime: 52501

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 19 × 307

Divisors: 1, 3, 9, 19, 57, 171, 307, 921, 2763, 5833

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110100010001

Octal: 146421

Duodecimal: 26469

Hexadecimal: cd11

Square: 2755935009

Square Root: 229.1222381175603

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

a(n) = (n⁴ + n)/2 (Row sums of an n X n X n magic cube, when it exists). A27441

a(0) = 0 and a(n) = (4·n³ - 12·n² + 20·n - 9)/3 for n >= 1. A174794

Expansion of (1 - x²)/(1 - 3·x² - x³). A188048

Numbers of the form k*(k³ +- 1)/2. A57590

a(n) = n*(8·n² + 1)/3. A143166

Number of (s(0), s(1), ..., s(2n+1)) such that 0 < s(i) < 9 and |s(i) - s(i-1)| = 1 for i = 1,2,...,2n+1, s(0) = 3, s(2n+1) = 6. A94834

Number of black square subarrays of (n+1)X(4+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero. A231068

Magic constant of smallest order-n perfect magic cube. A109130

Number of nonsingular n X n matrices over GF(9). A52497

T(n,k)=Number of black square subarrays of (n+1)X(k+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero. A231070