Properties of the Number 37123

Thirty-Seven Thousand One Hundred Twenty-Three

Basics

Value: 37122 → 37123 → 37124

Parity: odd

Prime: Yes

Previous Prime: 37117

Next Prime: 37139

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 37123

Divisors: 1, 37123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000100000011

Octal: 110403

Duodecimal: 19597

Hexadecimal: 9103

Square: 1378117129

Square Root: 192.67329861711508

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

Largest squarefree number k such that Q(sqrt(-k)) has class number n. A38552

The first of two consecutive primes the sum of which is equal to the sum of two consecutive pentagonal numbers. A298464

Discriminants of imaginary quadratic fields with class number 17 (negated). A46014

Primes p such that q = 2·p³-1 and 2·p*q²-1 are both prime. A224614

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 774", based on the 5-celled von Neumann neighborhood. A290238

Larger of pairs of emirps (A006567) whose difference with the (smaller) reversal is a triangular number (A000217). A217286

Largest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1. A2149

Primes p such that lcm(1,2,3,...,p-2,p-1,p) + 1 is prime. A154525

a(n) is the least prime p = prime(k) > prime(n) such that A306530(k) = prime(n). A307965

Prime powers such that 1 + lcm(1,2,...,p^w) is prime. A51453