Properties of the Number 51945

Fifty-One Thousand Nine Hundred Forty-Five

Basics

Value: 51944 → 51945 → 51946

Parity: odd

Prime: No

Previous Prime: 51941

Next Prime: 51949

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 3463

Divisors: 1, 3, 5, 15, 3463, 10389, 17315, 51945

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100101011101001

Octal: 145351

Duodecimal: 26089

Hexadecimal: cae9

Square: 2698283025

Square Root: 227.91445763707048

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

T(n,k) = Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements differing by no more than k. A204213

Number of trees of nonempty sets with n points. (Each node is a set of 1 or more points.) A36250

Number of trees with 2-colored leaves. A36251

Number of nX2 0..6 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A201066

Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements differing by no more than 4. A204209

Number of length 8 nonnegative integer arrays starting and ending with 0 with adjacent elements differing by no more than n. A204216

a(n) = C(n)*(5·n+1) where C(n) = Catalan numbers (A000108). A51945

Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1. A297393