Properties of the Number 2005

Two Thousand Five

Basics

Value: 2004 → 2005 → 2006

Parity: odd

Prime: No

Previous Prime: 2003

Next Prime: 2011

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 5 × 401

Divisors: 1, 5, 401, 2005

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11111010101

Octal: 3725

Duodecimal: 11B1

Hexadecimal: 7d5

Square: 4020025

Square Root: 44.77722635447622

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

Triangular array: the fission of the polynomial sequence ((x+1)ⁿ: n >= 0) by the polynomial sequence ((x+2)ⁿ: n >= 0). (Fission is defined at Comments.) A193842

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 5 as largest digit. A256631

Numbers where 0 outnumbers any other digit. A292450

Number of strict integer partitions of n with at least one neighborless part. A356607

Number of odd-length integer partitions of n whose parts have the same mean as median. A359895

a(1)=1, a(n) = n·3^n-1 + a(n-1). A14915

Analog of A121805, but starting with 2. A139284

5-Knödel numbers. A50993

Vertically symmetric numbers. A53701

List the positions of all digits '1' in the sequence. This is the lexicographically earliest increasing sequence with this property. A98645

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