Properties of the Number 2137

Two Thousand One Hundred Thirty-Seven

Basics

Value: 2136 → 2137 → 2138

Parity: odd

Prime: Yes

Previous Prime: 2131

Next Prime: 2141

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2137

Divisors: 1, 2137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001011001

Octal: 4131

Duodecimal: 12A1

Hexadecimal: 859

Square: 4566769

Square Root: 46.22769732530488

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

Primes p such that (p+1)/2 is prime. A5383

Initial members of prime triples (p, p+4, p+6). A22005

Primes of the form x² + 24·y². A107008

Total number of ON states after n generations of cellular automaton based on hexagons. A151723

Friedlander-Iwaniec primes: Primes of form a² + b⁴. A28916

Primes with 10 as smallest positive primitive root. A61323

Number of partitions p of n such that (maximal multiplicity over the parts of p) = number of 1s in p. A241131

Number of strict integer partitions of 2·n with no subset summing to n. A321142

Nondescending wiggly sums: number of sums adding to n in which terms alternately do not decrease and do not increase. A129852

Numbers n such that (10ⁿ + 1)/11 is a prime. A1562