Properties of the Number 37537

Thirty-Seven Thousand Five Hundred Thirty-Seven

Basics

Value: 37536 → 37537 → 37538

Parity: odd

Prime: Yes

Previous Prime: 37529

Next Prime: 37547

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 37537

Divisors: 1, 37537

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001010100001

Octal: 111241

Duodecimal: 19881

Hexadecimal: 92a1

Square: 1409026369

Square Root: 193.7446773462435

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 having only {3, 5, 7} as digits. A87363

Primes of form n² + 6561. A256837

Primes of the form 2·p² - 1, where p is prime. A92057

Sum of the legs of the unique primitive Pythagorean triple whose inradius is A000217(n) and such that its long leg and its hypotenuse are consecutive natural numbers. A383834

E.g.f. A(x) satisfies: [xⁿ] A(x)^n*(n+1) = n*(n+1) * [x^n-1] A(x)^n*(n+1) for n>=1. A300870

Primes of the form abcabc..abcab. A228627

a(n) = 128n² + 2336n + 10657. A157433

a(n) = 128·n² + 32·n + 1. A157337

Primes of the form 2·p^k-1, where p is prime and k > 1. A178491

a(n) = 2·prime(n)² - 1. A179262