Properties of the Number 51213

Fifty-One Thousand Two Hundred Thirteen

Basics

Value: 51212 → 51213 → 51214

Parity: odd

Prime: No

Previous Prime: 51203

Next Prime: 51217

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 43 × 397

Divisors: 1, 3, 43, 129, 397, 1191, 17071, 51213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100000001101

Octal: 144015

Duodecimal: 25779

Hexadecimal: c80d

Square: 2622771369

Square Root: 226.30289436947112

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 nXk 0..1 arrays with every element equal to 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A298622

a(n) = n*(2·n² - 3·n + 4)/3. A37235

Concatenation of primitive Pythagorean triangles, sorted. A138043

Number of nX5 0..1 arrays with every element equal to 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A298619

Number of nX7 0..1 arrays with every element equal to 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A298621

Concatenate the terms of A027750 (omitting spaces and commas), chop into blocks of length 5, then omit any leading zeros. A362446

Expansion of e.g.f. (1/x) * Series_Reversion( x * (1 - x) * exp(-3·x/(1 - x)) ). A380919

Numbers of the form 2^x-y² >= 0. A51213

Sum of pyramid weights of all Dyck paths of semilength n that have no ascents and no descents of length 1. A166302