Properties of the Number 2131

Two Thousand One Hundred Thirty-One

Basics

Value: 2130 → 2131 → 2132

Parity: odd

Prime: Yes

Previous Prime: 2129

Next Prime: 2137

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2131

Divisors: 1, 2131

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100001010011

Octal: 4123

Duodecimal: 1297

Hexadecimal: 853

Square: 4541161

Square Root: 46.16275555033516

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

a(n) = 4·a(n-1) - a(n-2), with a(0) = 1, a(1) = 1. A1835

Primes whose decimal representation is a valid number in base 4 and interpreted as such is again a prime. A90707

a(n) = 4·a(n-2) - a(n-4) for n > 1, a(n) = n for n = 0, 1. A2530

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

a(n) = (1 + a(n-1)*a(n-2))/a(n-3), a(0) = a(1) = a(2) = 1. A5246

First member of a prime triple in a 2p-1 progression. A57326

Array T(k,n) read by antidiagonals. G.f.: x(1-x)/(1-kx+x²), k>1. A94954

First term of strong prime quartets: prime(m+1)-prime(m) > prime(m+2)-prime(m+1) > prime(m+3)-prime(m+2). A54804

Primes with first digit 2. A45708

a(n) = 4·a(n-1) - a(n-2) with a(1) = 1, a(2) = 3. A79935