Properties of the Number 27361

Twenty-Seven Thousand Three Hundred Sixty-One

Basics

Value: 27360 → 27361 → 27362

Parity: odd

Prime: Yes

Previous Prime: 27337

Next Prime: 27367

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 27361

Divisors: 1, 27361

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101011100001

Octal: 65341

Duodecimal: 13A01

Hexadecimal: 6ae1

Square: 748624321

Square Root: 165.41160781517118

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

Cuban primes: primes which are the difference of two consecutive cubes. A2407

Let A(0) = 1, B(0) = 0; A(n+1) = ∑_k=0..n binomial(n,k)*B(k), B(n+1) = ∑_k=0..n -binomial(n,k)*A(k); entry gives B sequence (cf. A121867). A121868

Class 6+ primes. A81634

Primes of the form 2·n² + 78·n + 37. A217501

Primes p such that A001177(p) = (p-1)/6. A308799

Restricted partitions. A49285

Number of quasi-triominoes in an n X n bounding box. A94170

Number of partitions p of n such that (maximal multiplicity of the parts of p) > (maximal part of p). A240314

Primes p such that q = 2·p³-1 and 2·p*q²-1 are both prime. A224614

a(n)² is the start of the first occurrence of n consecutive perfect powers, all of which are squares with exponents equal to 2 (A111245). A340663