Properties of the Number 29385

Twenty-Nine Thousand Three Hundred Eighty-Five

Basics

Value: 29384 → 29385 → 29386

Parity: odd

Prime: No

Previous Prime: 29383

Next Prime: 29387

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 653

Divisors: 1, 3, 5, 9, 15, 45, 653, 1959, 3265, 5877

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001011001001

Octal: 71311

Duodecimal: 15009

Hexadecimal: 72c9

Square: 863478225

Square Root: 171.42053552593984

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

Least k such that decimal representation of k·n contains only digits 0 and 9. A96688

Number of ways to partition the Young diagram of an integer partition of n into vertical sections of the same sizes as the parts of the original partition. A321730

Row sums of A154685. A151675

Number of n X 1 0..2 arrays with every repeated value in every row and column greater than the previous repeated value. A267960

Expansion of e.g.f. -log(1 - x) * exp(-3·x). A346398

Expansion of 1/((1-x⁵)(1-x⁶)(1-x⁸)(1-x¹¹)). A29385