Properties of the Number 1831

One Thousand Eight Hundred Thirty-One

Basics

Value: 1830 → 1831 → 1832

Parity: odd

Prime: Yes

Previous Prime: 1823

Next Prime: 1847

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 1831

Divisors: 1, 1831

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11100100111

Octal: 3447

Duodecimal: 1087

Hexadecimal: 727

Square: 3352561

Square Root: 42.790185790669334

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(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists. A230

a(n)-th and (a(n)+1)-st primes are the first pair of primes that differ by exactly 2n; a(n) = -1 if no such pair of primes exists. A38664

Primes p such that q = (p² + 1)/2 is also a prime. A48161

Primes that become another prime under the map 8 <-> 9 (acting on the decimal digits). A175789

a(n) = 1 + n + 2·n². A84849

Finitary primes. Primes of finitary index. A277098

Indices in A146326 where records occur. A146345

Primes that are palindromic in base 2 (but written here in base 10). A16041

Primes which yield a prime whenever a 1 is inserted anywhere in them (including at the beginning or end). A69246

Indices of primes where largest gap occurs. A5669