Properties of the Number 51187

Fifty-One Thousand One Hundred Eighty-Seven

Basics

Value: 51186 → 51187 → 51188

Parity: odd

Prime: No

Previous Prime: 51169

Next Prime: 51193

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 17 × 3011

Divisors: 1, 17, 3011, 51187

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011111110011

Octal: 143763

Duodecimal: 25757

Hexadecimal: c7f3

Square: 2620108969

Square Root: 226.24544194303672

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+2) X (k+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 1 2 4 6 or 7. A252558

Exponents k where A000120(3^k) - A070939(3^k)/2 reaches a new minimum. A372097

Expansion of f(-x⁶) / (f(-x²)³ * φ(-x)²) in powers of·where φ(), f() are Ramanujan θ functions. A259664

Number of (1+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7. A252559

Triangle read by rows: T(n, m) = S1(n, m)*8^n-m, where S1 are the signed Stirling numbers of first kind A008275 (n >= 1, 1 <= m <= n). A51187