Properties of the Number 9729

Nine Thousand Seven Hundred Twenty-Nine

Basics

Value: 9728 → 9729 → 9730

Parity: odd

Prime: No

Previous Prime: 9721

Next Prime: 9733

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 23 × 47

Divisors: 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000000001

Octal: 23001

Duodecimal: 5769

Hexadecimal: 2601

Square: 94653441

Square Root: 98.63569333664158

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

Numbers that are the sum of 3 positive cubes in 3 or more ways. A25398

Numbers that are the sum of 3 positive cubes in exactly 3 ways. A25397

The maximum of the absolute value of the coefficients of Pn = (1-x)(1-x²)(1-x³)...(1-xⁿ). A160089

T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than four equal edges, and new values 0..2 introduced in row major order. A206635

Numbers k such that the decimal number concat(4,k) is a square. A273359

Odd composite integers m such that A014448(m) == 4 (mod m). A335670

a(n) = 8·n² + 14·n + 5. A181890

Consider Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ; a(n) = position of the longest word in the orbit, or -1 if the orbit is unbounded. A292094

a(n) is the concatenation of n with n³. A61086

Number of colored integer partitions of n such that nine colors are used and parts differ by size or by color. A327387