Properties of the Number 76221

Seventy-Six Thousand Two Hundred Twenty-One

Basics

Value: 76220 → 76221 → 76222

Parity: odd

Prime: No

Previous Prime: 76213

Next Prime: 76231

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 941

Divisors: 1, 3, 9, 27, 81, 941, 2823, 8469, 25407, 76221

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010100110111101

Octal: 224675

Duodecimal: 38139

Hexadecimal: 129bd

Square: 5809640841

Square Root: 276.08150970320344

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) = T(2n-1, n-1), T given by A026780. A26784

a(n) = T(n, floor(n/2)), T given by A026780. A26786

O.g.f. A(x) satisfies: [xⁿ] exp(n⁴ * x) * (1 - x·A(x)) = 0 for n > 0. A304394

T(n,k) = V(n,k)/k!, where V(n,k) = k^n·k - ∑_t=1..k-1 binomial(k,t)*k^n*(k-t)*V(n,t) for n, k >= 1; square array T read by upwards antidiagonals. A342202

The number of P-positions in the game of Nim with up to five piles, allowing for piles of zero, such that the total number of objects in all piles doesn't exceed 2n. A238147

Numbers n such that the sum of first n prime powers (A025475) is divisible by n. A225791

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 817", based on the 5-celled von Neumann neighborhood. A273648

a(n) = (27ⁿ - 3·9ⁿ - 3·12ⁿ)/6 + 6ⁿ. A342405

a(n) = greatest number in row n of array T given by A026780. A27246

O.g.f. A(x) satisfies: [xⁿ] exp( n⁴ * x ) / A(x) = 0 for n>0. A304324