Properties of the Number 3009

Three Thousand Nine

Basics

Value: 3008 → 3009 → 3010

Parity: odd

Prime: No

Previous Prime: 3001

Next Prime: 3011

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 17 × 59

Divisors: 1, 3, 17, 51, 59, 177, 1003, 3009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111000001

Octal: 5701

Duodecimal: 18A9

Hexadecimal: bc1

Square: 9054081

Square Root: 54.85435260760991

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

Crystal ball sequence for hexagonal close-packing. A7202

-1 + number of partitions of n. A65

First spoke of a hexagonal spiral. A56105

Generalized 24-gonal (or icositetragonal) numbers: m*(11·m - 10) with m = 0, +1, -1, +2, -2, +3, -3, ... A303814

Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 24. A51989

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 9 as largest digit. A256709

Number of partitions of n into at most 6 parts. A1402

a(n) = ∑_k=1..n k·d(k) where d(k) is the number of divisors of k. A143127

Number of partitions of n in which the greatest part is 6. A26812

Expansion of ∑_n>=1 ( (1 + xⁿ)ⁿ - 1 ). A318636