Properties of the Number 1009

One Thousand Nine

Basics

Value: 1008 → 1009 → 1010

Parity: odd

Prime: Yes

Previous Prime: 997

Next Prime: 1013

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 1009

Divisors: 1, 1009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110001

Octal: 1761

Duodecimal: 701

Hexadecimal: 3f1

Square: 1018081

Square Root: 31.76476034853718

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

Emirps (primes whose reversal is a different prime). A6567

Primes p such that p + 4 is also prime. A23200

Primes p such that 2p-1 is also prime. A5382

Antisigma(n): Sum of the numbers less than n that do not divide n. A24816

Primes congruent to 1 (mod 12). A68228

Primes of form 8n+1, that is, primes congruent to 1 mod 8. A7519

Primes whose reversal in base 10 is also prime (called "palindromic primes" by David Wells, although that name usually refers to A002385). Also called reversible primes. A7500

Primes whose binary representation is also the decimal representation of a prime. A65720

Primes of form 10·k + 9. A30433

Flavius Josephus's sieve: Start with the natural numbers; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate. A960