Properties of the Number 37039

Thirty-Seven Thousand Thirty-Nine

Basics

Value: 37038 → 37039 → 37040

Parity: odd

Prime: Yes

Previous Prime: 37021

Next Prime: 37049

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 37039

Divisors: 1, 37039

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000010101111

Octal: 110257

Duodecimal: 19527

Hexadecimal: 90af

Square: 1371887521

Square Root: 192.45518958968086

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

Smaller of two consecutive primes whose sum is a cube. A61308

Lesser of consecutive primes whose sum is a perfect power (A001597). A91624

Number of partitions of n in which number of least parts is equal to least part. A96403

G.f.: (1 + x⁴ + x⁵ + x⁶ + x¹⁰ + x¹¹ + x¹² + x¹⁶)/∏_i=1..8 (1 - xⁱ). A256975

Primes p == 3 (mod 4) such that the multiplicative order of 2+-i modulo p in Gaussian integers (A385165) is not divisible by 2 or 3. A385188

Primes p such that p + 4, p + 16, p + 64, p + 256 and p + 1024 are all semiprimes. A241493

Number of subsets of {1..n} with the same number of maximal runs (increasing by 1) as maximal anti-runs (increasing by more than 1). A385572

Primes of the form 4·n³-5. A200732

Primes p such that 2·p-1 and (2·p-1)²+(2·p)² are also prime. A347165

Number of tilings of a right isosceles triangle by n right isosceles triangular tiles of any size, such that the intersection of any two tiles is either empty, a vertex of both tiles, or an edge of both tiles. A369237