Properties of the Number 51985

Fifty-One Thousand Nine Hundred Eighty-Five

Basics

Value: 51984 → 51985 → 51986

Parity: odd

Prime: No

Previous Prime: 51977

Next Prime: 51991

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 37 × 281

Divisors: 1, 5, 37, 185, 281, 1405, 10397, 51985

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101100010001

Octal: 145421

Duodecimal: 26101

Hexadecimal: cb11

Square: 2702440225

Square Root: 228.0021929719098

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

Diagonal in array of n-gonal numbers A081422. A81437

Numbers k that, when expressed in base 5 and then interpreted in base 8, give a multiple of k. A62930

Number of singular 2 X 2 matrices over Z(n) (i.e., with determinant = 0). A20478

Number of pairs with two different elements which can be obtained by selecting unique elements from two sets with n+1 and n² elements respectively and n common elements. A85490

a(n) = 36·n² + 1. A158591

Number of non-congruent solutions of x² + y² + z² + t² == 0 mod n. A240547

Numbers of the form m² + 1 that can be expressed in more than one way as j² + k² with j > k > 1 and gcd(j,k) = 1. A300166

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

Number of noninvertible 2 X 2 matrices over Z/nZ (determinant is a divisor of 0). A20479

Number of non-congruent solutions of x²+y² == z²+w² (mod n). A316148