Properties of the Number 51307

Fifty-One Thousand Three Hundred Seven

Basics

Value: 51306 → 51307 → 51308

Parity: odd

Prime: Yes

Previous Prime: 51287

Next Prime: 51329

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 51307

Divisors: 1, 51307

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100001101011

Octal: 144153

Duodecimal: 25837

Hexadecimal: c86b

Square: 2632408249

Square Root: 226.5104854085126

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

Primes p = prime(k) such that prime(k) + prime(k+7) = prime(k+1) + prime(k+6) = prime(k+2) + prime(k+5) = prime(k+3) + prime(k+4). A64102

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 1, -1), (1, 0, 1), (1, 1, 0)}. A150767

G.f. satisfies: A( A(x)² - A(x)³ ) = x², where A(x) = ∑_n>=1 a(n)*xⁿ / 2^A273926(n). A273925

Number of 7-element proper antichains of an n-element set. A51307