Properties of the Number 52136

Fifty-Two Thousand One Hundred Thirty-Six

Basics

Value: 52135 → 52136 → 52137

Parity: even

Prime: No

Previous Prime: 52127

Next Prime: 52147

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 7 ³ × 19

Divisors: 1, 2, 4, 7, 8, 14, 19, 28, 38, 49

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101110101000

Octal: 145650

Duodecimal: 26208

Hexadecimal: cba8

Square: 2718162496

Square Root: 228.33309002420125

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

Growth series for affine Coxeter group B₄. A267167

Given the 3 X 3 matrix M = [0 1 0 / 0 0 1 / 7 -14 7], a(n) = (-) rightmost term of Mⁿ * [1 1 1]. A94429

Sum of the divisors of 6ⁿ+1. A366629

Number of Pythagorean quadruples mod n; i.e., number of solutions to w² + x² + y² = z² mod n. A96018

Gaps of 8 in sequence A038593 (upper terms). A38656

a(n) is the sum of the divisors of nⁿ + 1. A366820

Sum of the divisors of n³+1. A234645

Triangle of coefficients arising in study of up-down permutations. A244888

E.g.f. satisfies: A'(x) = A(x)⁷ / A(-x) with A(0) = 1. A236953

Numerators of power series coefficients of a(x) satisfying a(a(a(x)))= arctan(x). A52136