Properties of the Number 42937

Forty-Two Thousand Nine Hundred Thirty-Seven

Basics

Value: 42936 → 42937 → 42938

Parity: odd

Prime: Yes

Previous Prime: 42929

Next Prime: 42943

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 42937

Divisors: 1, 42937

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011110111001

Octal: 123671

Duodecimal: 20A21

Hexadecimal: a7b9

Square: 1843585969

Square Root: 207.21245136332902

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 of form n² + 20736. A256840

Smallest odd prime base q such that p³ divides q^p-1 - 1, where p = prime(n). A125637

Primes from merging of 5 successive digits in decimal expansion of Euler-Mascheroni constant. A198779

Primes p such that 54·p-1, 54·p+1 and 60·p-1, 60·p+1 are twin primes. A138698

Consecutive pairs of prime point sums in A161191 (includes triples). A161192

Prime powers that are equal to the sum of the first k prime powers (not including 1) for some k. A364797

Primes from merging of 5 successive digits in decimal expansion of the Euler-Mascheroni Constant. A104939

G.f. A(x) satisfies: A(x) = 1 / (1 - x·A(4·x)²). A349287

Primes p from A031924 such that A052180(p) = 23. A52238

Numbers n such that n is the sum of two nonzero squares in exactly one way, n+1 is the sum of a positive square and a positive cube in exactly one way and n+2 is the sum of 2 positive cubes in exactly one way. A273530