Properties of the Number 1004

One Thousand Four

Basics

Value: 1003 → 1004 → 1005

Parity: even

Prime: No

Previous Prime: 997

Next Prime: 1009

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 251

Divisors: 1, 2, 4, 251, 502, 1004

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101100

Octal: 1754

Duodecimal: 6B8

Hexadecimal: 3ec

Square: 1008016

Square Root: 31.68595903550972

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

Expansion of ∏_m>=1 (1 + q^m)^m; number of partitions of n into distinct parts, where n different parts of size n are available. A26007

Second-order Eulerian triangle T(n,k), 1 <= k <= n. A8517

Numbers whose sum of divisors is a square. A6532

Numbers that are the sum of 5 positive 5th powers. A3350

Second-order Eulerian numbers: a(n) = 2ⁿ - 2·n. A5803

Numbers whose sum of digits is 5. A52219

Coefficient triangle for polynomials used for o.g.f.s for unsigned Stirling1 diagonals. A112007

Numbers m such that m and m+1 are consecutive Zeckendorf-Niven numbers (A328208). A328209

Primes multiplied by 4. A1749

Number of distinct products i·j*k with 1 <= i < j < k <= n. A27430