Properties of the Number 51363

Fifty-One Thousand Three Hundred Sixty-Three

Basics

Value: 51362 → 51363 → 51364

Parity: odd

Prime: No

Previous Prime: 51361

Next Prime: 51383

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 439

Divisors: 1, 3, 9, 13, 39, 117, 439, 1317, 3951, 5707

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100010100011

Octal: 144243

Duodecimal: 25883

Hexadecimal: c8a3

Square: 2638157769

Square Root: 226.6340662830723

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

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic nonresidues mod p. A282043

a(n) is the sum of quadratic nonresidues of A002145(n) (the n-th prime == 3 mod 4). A282036

a(n) = 23 + floor( 1 + ∑_j=1..n-1 a(j)/2 ). A120147

E.g.f. satisfies: A(x) = exp( x/(1 - x·A(x)³) ). A212917

Number of 6-element families of an n-element set such that every 3 members of the family have a nonempty intersection. A51363

Number of (n+2)X4 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..1 introduced in row major order. A204965

Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255790