Properties of the Number 2003

Two Thousand Three

Basics

Value: 2002 → 2003 → 2004

Parity: odd

Prime: Yes

Previous Prime: 1999

Next Prime: 2011

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 2003

Divisors: 1, 2003

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111010011

Octal: 3723

Duodecimal: 11AB

Hexadecimal: 7d3

Square: 4012009

Square Root: 44.75488800120049

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 parts each of which is used a different number of times. A98859

Number of partitions of n into distinct parts in which the number of parts divides n. A102627

Primes whose decimal representation is a valid number in base 4 and interpreted as such is again a prime. A90707

Write 1,2,... in a clockwise spiral; sequence gives numbers on positive·axis. A33951

Primes that become a different prime under the mapping 0 <=> 2. A180517

Lucasian primes: p == 3 (mod 4) with 2·p+1 prime. A2515

Numbers whose sum of digits is 5. A52219

Second spoke of a hexagonal spiral. A56106

Lower prime of a difference of 8 between consecutive primes. A31926

a(n) = 2·a(n-1) - 2·a(n-3) + a(n-4) for n > 3, with initial terms 1, 1, 4, 8. A267682

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