Properties of the Number 1001

One Thousand One

Basics

Value: 1000 → 1001 → 1002

Parity: odd

Prime: No

Previous Prime: 997

Next Prime: 1009

Digit Sum: 2

Digital Root: 2

Palindrome: Yes

Factorization: 7 × 11 × 13

Divisors: 1, 7, 11, 13, 77, 91, 143, 1001

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101001

Octal: 1751

Duodecimal: 6B5

Hexadecimal: 3e9

Square: 1002001

Square Root: 31.63858403911275

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

The binary numbers (or binary words, or binary vectors, or binary expansion of n): numbers written in base 2. A7088

Pentagonal numbers: a(n) = n*(3·n-1)/2. A326

Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24. A332

Numbers in base 3. A7089

a(0)=1; a(n) = 10ⁿ + 1, n >= 1. A533

Generalized pentagonal numbers: m*(3·m - 1)/2, m = 0, +-1, +-2, +-3, .... A1318

Integers written in factorial base. A7623

n written in primorial base. A49345

Numbers that are the sum of 2 positive cubes. A3325

Representation of n in base of Fibonacci numbers (the Zeckendorf representation of n). Also, binary words starting with 1 not containing 11, with the word 0 added. A14417