Properties of the Number 96801

Ninety-Six Thousand Eight Hundred One

Basics

Value: 96800 → 96801 → 96802

Parity: odd

Prime: No

Previous Prime: 96799

Next Prime: 96821

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 41 × 787

Divisors: 1, 3, 41, 123, 787, 2361, 32267, 96801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101000100001

Octal: 275041

Duodecimal: 48029

Hexadecimal: 17a21

Square: 9370433601

Square Root: 311.1285907787968

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

Expansion of e.g.f. exp(arcsinh(arcsin(x))). A12248

Expansion of e.g.f. of cos(arcsin(arcsinh(x))), even powers only. A12115

Number of equivalence classes of ballot paths of length n for the string dud. A274113

Number of n X 3 0..1 arrays with every element equal to 1, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A299583

Convolution of A000041 and A237271. A390878

G.f. satisfies: A(x) = ∑_n>=0 xⁿ * (A(x) + xⁿ)ⁿ. A248603

Triangle, read by rows, that transforms the (n+m)-dimensional partitions of n into the (n+m+1)-dimensional partitions of n, for fixed m. A96801