Properties of the Number 1008

One Thousand Eight

Basics

Value: 1007 → 1008 → 1009

Parity: even

Prime: No

Previous Prime: 997

Next Prime: 1009

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 7

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110000

Octal: 1760

Duodecimal: 700

Hexadecimal: 3f0

Square: 1016064

Square Root: 31.74901573277509

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

Numbers that are the sum of 2 positive cubes. A3325

Generalized octagonal numbers: k*(3·k-2), k=0, +- 1, +- 2, +-3, ... A1082

Coefficients in expansion of Eisenstein series E₂ (also called E₁ or G₂). A6352

Numbers of the form 2ⁱ - 2^j with i >= j. A23758

Highly abundant numbers: numbers k such that σ(k) > σ(m) for all m < k. A2093

Rhombic matchstick numbers: a(n) = n*(3·n+2). A45944

Coefficients of list partition transform: reciprocal of an exponential generating function (e.g.f.). A133314

Let T_n be the infinite sequence formed by starting with 1 and repeatedly reversing the digits and adding n to get the next term. If T_n eventually reaches a cycle, sequence gives length of that cycle, otherwise -1. A117817

a(n) = n*(4·n-1). A33991

Self-Fibonacci numbers: numbers k that divide Fibonacci(k). A23172