Properties of the Number 9727

Nine Thousand Seven Hundred Twenty-Seven

Basics

Value: 9726 → 9727 → 9728

Parity: odd

Prime: No

Previous Prime: 9721

Next Prime: 9733

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 71 × 137

Divisors: 1, 71, 137, 9727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111111111

Octal: 22777

Duodecimal: 5767

Hexadecimal: 25ff

Square: 94614529

Square Root: 98.62555449780751

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 partitions of n such that the successive differences of consecutive parts are nondecreasing. A240026

Numbers whose multiset multisystem (A302242) is crossing. A324170

Global ranks of terms of A057122: tells which terms of A014486 form rooted plane binary trees also when interpreted as codes for ordinary rooted planar trees. A57123

A sequence of asymptotic density ζ(10) - 1, where ζ is the Riemann ζ function. A143036

Partial sums of A151779. A151781

a(n) = 5·A005259(n-1) + 2·A005258(n). A357959

Comparisons needed for Batcher's sorting algorithm applied to 2ⁿ items. A53545

Nonnegative integers n such that 13·n² + 13·n + 1 is a square. A104240

a(n) = 19·2ⁿ-1. A198276

G.f.: (1 + x⁴ + x⁵ + x⁶ + x¹⁰ + x¹¹ + x¹² + x¹⁶)/∏_i=1..8 (1 - xⁱ). A256975