Properties of the Number 51075

Fifty-One Thousand Seventy-Five

Basics

Value: 51074 → 51075 → 51076

Parity: odd

Prime: No

Previous Prime: 51071

Next Prime: 51109

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 ² × 227

Divisors: 1, 3, 5, 9, 15, 25, 45, 75, 225, 227

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011110000011

Octal: 143603

Duodecimal: 25683

Hexadecimal: c783

Square: 2608655625

Square Root: 225.99778759979046

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

Triangle read by rows: T(n,k) is the number of k-block partitions of an n-set up to rotations. A152175

Triangle read by rows, 1 <= k <= n: T(n,k) = non-isomorphic colorings of a toroidal n X k grid using exactly four colors under translational symmetry and swappable colors. A294793

Number of n-bead necklace structures using exactly four different colored beads. A56297

Numbers m such that abs(K(m+1) - K(m)) = 1, where K(m) = A002034(m) is the Kempner function. A346211

Triangle T(n, k) = (-1)^n-k*StirlingS1(n, k) + (-1)^k*StirlingS1(n, n-k) + (-1)ⁿ*StirlingS1(n, k)*StirlingS1(n, n-k), read by rows. A155744

Number of partitions p of n such that max(p) - min(p) is not a part of p. A238494

a(n) = ∑_k=1..n floor((n/k) * floor((n/k) * floor(n/k))). A24922

Least positive integer y such that n = x⁴ - y³ + z² for some positive integers·and z, or 0 if no such y exists. A266152

Primes p such that x¹² = -2 has a solution mod p. A51075