Properties of the Number 27315

Twenty-Seven Thousand Three Hundred Fifteen

Basics

Value: 27314 → 27315 → 27316

Parity: odd

Prime: No

Previous Prime: 27299

Next Prime: 27329

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 607

Divisors: 1, 3, 5, 9, 15, 45, 607, 1821, 3035, 5463

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010110011

Octal: 65263

Duodecimal: 13983

Hexadecimal: 6ab3

Square: 746109225

Square Root: 165.27250225007182

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

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, west or northwest neighbor modulo n and the upper left element equal to 0. A266832

Composites that are the sum of two, three, four and five consecutive composite numbers. A151745

Number of multisets of nonempty words with a total of n letters over n-ary alphabet such that if a letter occurs in the multiset all predecessors occur at least once. A257741

Largest number that is not the sum of five n-gonal numbers. A118367

The maximum integer dimension in which the volume of the hypersphere of radius n remains larger than 1. A177677

Numbers k whose decimal representation can be split in three parts which can be used as seeds for a tribonacci-like sequence containing k itself. A383230

Number of nX3 arrays containing 3 copies of 0..n-1 with no element 1 greater than its north, west or northwest neighbor modulo n and the upper left element equal to 0. A266831

Number of 5Xn arrays containing n copies of 0..5-1 with no element 1 greater than its north, west or northwest neighbor modulo 5 and the upper left element equal to 0. A266835

Numbers starting with 1 such that the sum of any two distinct elements has an even number of distinct prime factors. A180514

Self-convolution of array T given by A026082. A27315