Properties of the Number 9297

Nine Thousand Two Hundred Ninety-Seven

Basics

Value: 9296 → 9297 → 9298

Parity: odd

Prime: No

Previous Prime: 9293

Next Prime: 9311

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1033

Divisors: 1, 3, 9, 1033, 3099, 9297

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001010001

Octal: 22121

Duodecimal: 5469

Hexadecimal: 2451

Square: 86434209

Square Root: 96.42095207992918

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

Number of normal multisets that cannot be expressed as the multiset-union of a set of sets. A292432

a(n) = Lucas(n+4) - (3·n+7). A23537

Numbers k such that k² * 2^k + 1 is prime. A58780

Smallest positive integer which can be represented as the sum of distinct positive cubes in exactly n ways, or 0 if no such integer exists. A275154

a(n) is the position of the last two-tuple within the reverse lexicographic set of partitions of 2n and 2n+1, with a(1)-a(n) representing the positions of every 2-tuple partition of 2n and 2n+1. A216053

Riordan array ((1-3x+x²)/(1-4x+3x²), x(1-2x)/(1-4x+3x²)). A147747

Number of partitions p of n such that (maximal multiplicity of the parts of p) < (number of distinct parts of p). A240305

Expansion of χ(x)¹⁰ / φ(x)⁴ in powers of·where φ(), χ() are Ramanujan θ functions. A2512

Number of compositions of n where the smallest part is greater than the number of parts. A98132

Numerators of the convergents to log₂(5). A116985