Properties of the Number 51126

Fifty-One Thousand One Hundred Twenty-Six

Basics

Value: 51125 → 51126 → 51127

Parity: even

Prime: No

Previous Prime: 51109

Next Prime: 51131

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 8521

Divisors: 1, 2, 3, 6, 8521, 17042, 25563, 51126

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100011110110110

Octal: 143666

Duodecimal: 25706

Hexadecimal: c7b6

Square: 2613867876

Square Root: 226.11059240999745

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 4k+3 primes whose Legendre-vector is not Dyck-path (A095103) in range ]2ⁿ,2ⁿ⁺¹]. A95093

A014486-indices of symmetric binary trees. A83940

Diagonal of rational function 1/(1 - (1 + x·y*z) * (x + y + z)). A361728

Expansion of g.f.: 1/∑_{p odd prime} x^p (odd powers only). A352479

Generalized Catalan Numbers x⁴*A(x)² -(1-x+x⁴+x⁵)*A(x) +1 =0. A23428

Number of integers k not exceeding 2ⁿ such that the cube of number of divisors [A000005(k)] is larger than k. A56764

Table T(n,k) = n mod k read by downward antidiagonals (n >= 1, k >= 1). A51126