Properties of the Number 30009

Thirty Thousand Nine

Basics

Value: 30008 → 30009 → 30010

Parity: odd

Prime: No

Previous Prime: 29989

Next Prime: 30011

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 1429

Divisors: 1, 3, 7, 21, 1429, 4287, 10003, 30009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 111010100111001

Octal: 72471

Duodecimal: 15449

Hexadecimal: 7539

Square: 900540081

Square Root: 173.23105957073633

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 into at least two parts such that the product of largest and smallest part does not exceed n. A116901

Total sum of the odd-indexed parts of all partitions of n. A207381

The width of the lattice of Dyck paths of length 2n ordered by the relation that one Dyck path lies above another one. A274291

a(n) = 62·n² + 1. A158676

a(n) = (3·n⁵ + 4·n³ - n)/6. A372751

Number of nX4 0..1 arrays with every element equal to 0, 1 or 4 horizontally or vertically adjacent elements, with upper left element zero. A301658

a(n) = ceiling(n*φ¹⁵), where φ is the golden ratio, A001622. A4970

Euler transform of primes. A30009