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Properties of the Number 2009

Two Thousand Nine

Basics

Value: 2008 → 2009 → 2010

Parity: odd

Prime: No

Previous Prime: 2003

Next Prime: 2011

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 7 2 × 41

Divisors: 1, 7, 41, 49, 287, 2009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 11111011001

Octal: 3731

Duodecimal: 11B5

Hexadecimal: 7d9

Square: 4036081

Square Root: 44.82186966202994

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

Odd numbers of the form p1+4k * r2, where p is prime of the form 1+4m, r > 1, and gcd(p,r) = 1. (Euler's criteria for odd perfect numbers). A228058
Number of subsets of {1, 2, ..., n} such that no member is a sum of distinct other members. A151897
a(n) = n*(n+8). A28566
Numerator of 1/16 - 1/n2. A61041
Expansion of b(2)*b(4)*b(6)/(x8-x4-x+1), where b(k) = (1-xk)/(1-x). A265055
Number of increasing arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2. A51336
Triangle read by rows: T(n,d) is the number of distinct properly d-dimensional polyominoes (or polycubes) with n cells (n >= 1, d >= 0). A49430
Numbers k such that p(k), p(k)+6, p(k)+12, p(k)+18 are consecutive primes, where p(k) denotes k-th prime. A90832
Numbers where 0 outnumbers any other digit. A292450
Number of ON states after n generations of cellular automaton rule described by the rulestring B1/S012345678. A151725

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