Properties of the Number 37201

Thirty-Seven Thousand Two Hundred One

Basics

Value: 37200 → 37201 → 37202

Parity: odd

Prime: Yes

Previous Prime: 37199

Next Prime: 37217

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 37201

Divisors: 1, 37201

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000101010001

Octal: 110521

Duodecimal: 19641

Hexadecimal: 9151

Square: 1383914401

Square Root: 192.87560758167425

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

Least prime in A031934 (lesser of 16-twins) whose distance to the next 16-twin is 6·n. A52357

Primes dividing terms of A231830. A362252

Number of tilings of an n X n square using integer-sided rectangular tiles of equal area. A220778

Number of matchings in the complete tripartite graph K_n,n,n. A293075

Primes which are -1 mod m, where m is the index of the prime in sequence A002313 (Real primes with corresponding complex primes). The index m can be found in A084164 Primes which are 1 mod m can be found in sequence A084165. A84163

Number of 2's in n-th "Kolakoski" string defined in A054349. A111123

Number of partitions of n such that (greatest part) is not = (multiplicity of greatest part). A240057

Primes p such that x⁵ = 2 has a solution mod p, but x^5² = 2 has no solution mod p. A70182

Prime numbers p such that p +- ((p-1)/5) are primes. A137714

Number of tilings of a 9 X n rectangle using integer-sided rectangular tiles of equal area. A220775