Properties of the Number 37052

Thirty-Seven Thousand Fifty-Two

Basics

Value: 37051 → 37052 → 37053

Parity: even

Prime: No

Previous Prime: 37049

Next Prime: 37057

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 59 × 157

Divisors: 1, 2, 4, 59, 118, 157, 236, 314, 628, 9263

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000010111100

Octal: 110274

Duodecimal: 19538

Hexadecimal: 90bc

Square: 1372850704

Square Root: 192.4889607224269

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

For even k >= 4, let f(k) = A066285(k/2) be the minimal difference between primes p and q whose sum is k. Such a k is in the sequence if f(k) > f(m) for all even m with 4 <= m < k. A65978

Sum of the first n twin prime pairs. A86169

Let n be even; m = n/2 and p a prime such that p<=m with n-p nonprime. The sequence contains the successive positive maxima of values n with L = primepi(m-1)-primepi(p+1)> 0. A293858

Number of partitions of 2n prime to 3,5 with all odd parts occurring with even multiplicities. There is no restriction on the even parts. A103259

Numbers n such that (6k-1) for k=n, n+1, n+2, n+3 are all primes with no primes of the form (6k+1) in between. A296011

a(n)-th prime is the smallest prime containing exactly n 0's. A37052

Number of length n+1 0..3 arrays with the sum of the squares of adjacent differences multiplied by some arrangement of +-1 equal to zero. A250272