Properties of the Number 51167

Fifty-One Thousand One Hundred Sixty-Seven

Basics

Value: 51166 → 51167 → 51168

Parity: odd

Prime: No

Previous Prime: 51157

Next Prime: 51169

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 19 × 2693

Divisors: 1, 19, 2693, 51167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100011111011111

Octal: 143737

Duodecimal: 2573B

Hexadecimal: c7df

Square: 2618061889

Square Root: 226.20123783923023

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 (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253495

Number of factorization patterns of polynomials of degree n over F₂. A6167

E.g.f. A(x) satisfies A(x) = exp( x/A(-x·A(x))² ). A384617

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384617. A384808

Number of (n+1) X (7+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253494

Number of (2+1) X (n+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253496

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 0, -1), (1, 0, 1), (1, 1, -1)}. A149378

Sum of two positive cubes in at least five ways (all solutions). A51167

Number of ways to write n² as x² + y² + z² + w² with x,y,z,w nonnegative integers and z <= w such that·or y is a power of 2 (including 1) and x + 63·y = 2^2k+1 for some k = 0,1,2,.... A300360