Properties of the Number 27937

Twenty-Seven Thousand Nine Hundred Thirty-Seven

Basics

Value: 27936 → 27937 → 27938

Parity: odd

Prime: No

Previous Prime: 27919

Next Prime: 27941

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 13 × 307

Divisors: 1, 7, 13, 91, 307, 2149, 3991, 27937

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110100100001

Octal: 66441

Duodecimal: 14201

Hexadecimal: 6d21

Square: 780475969

Square Root: 167.14365079176653

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

Differences between two positive cubes in exactly 2 ways. A14440

Difference between two positive cubes in more than one way. A34179

Number of partitions of 3-smooth numbers into parts not greater than 3. A117220

Number of partitions of n² into at most three parts. A274250

Sum of two (possibly negative) coprime cubes in at least 2 ways, but not the sum of 2 noncoprime cubes. A293648

Numbers k for which rank of the elliptic curve y² = x³ - 432·k² is 4. A309964

Positive numbers that are the sum of two (possibly negative) cubes in at least 2 ways (primitive solutions). A293647

Strong pseudoprimes to base 53. A20279

First occurrence of a run of exactly n consecutive integers with an odd number of prime factors. A275509

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence). A25119