Properties of the Number 1031

One Thousand Thirty-One

Basics

Value: 1030 → 1031 → 1032

Parity: odd

Prime: Yes

Previous Prime: 1021

Next Prime: 1033

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 1031

Divisors: 1, 1031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000111

Octal: 2007

Duodecimal: 71B

Hexadecimal: 407

Square: 1062961

Square Root: 32.109188716004645

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Lesser of twin primes. A1359

Sophie Germain primes p: 2p+1 is also prime. A5384

Prime-indexed primes: primes with prime subscripts. A6450

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

Indices of prime repunits: numbers k such that 11...111 (with k 1's) = (10^k - 1)/9 is prime. A4023

Primes of the form 10·n+1. A30430

Number of partitions of n in which no parts are multiples of 3. A726

Primes of the form 8n+7, that is, primes congruent to -1 mod 8. A7522

Next prime after 2ⁿ. A14210

Primes whose decimal representation is a valid number in base 9 and interpreted as such is again a prime. A235395