Properties of the Number 50801

Fifty Thousand Eight Hundred One

Basics

Value: 50800 → 50801 → 50802

Parity: odd

Prime: No

Previous Prime: 50789

Next Prime: 50821

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 37 × 1373

Divisors: 1, 37, 1373, 50801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100011001110001

Octal: 143161

Duodecimal: 25495

Hexadecimal: c671

Square: 2580741601

Square Root: 225.39077177204928

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

a(n) = ∑_k=0..n binomial(n,k) * binomial(4·n+4·k,k). A388729

a(n) = n*(n²+4). A155965

Compound filter: a(n) = P(σ(n), σ(2n)), where P(n,k) is sequence A000027 used as a pairing function, and σ is the sum of divisors (A000203). A286359

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 57", based on the 5-celled von Neumann neighborhood. A270077

Array read by diagonals downwards: A(n,k) for n>=2 and k>=0 is the number of (n,k)-polyominoes counting as distinct different formations of transparent squares. A381057

Numbers k such that k² is expressible as the sum of two positive cubes in at least one way. A50801

Number of terms in A228919 less than or equal to 10ⁿ. A229298

Number of terms in A191677 less than or equal to 10ⁿ. A229299