Properties of the Number 27957

Twenty-Seven Thousand Nine Hundred Fifty-Seven

Basics

Value: 27956 → 27957 → 27958

Parity: odd

Prime: No

Previous Prime: 27953

Next Prime: 27961

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 9319

Divisors: 1, 3, 9319, 27957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110100110101

Octal: 66465

Duodecimal: 14219

Hexadecimal: 6d35

Square: 781593849

Square Root: 167.20346886353764

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

Number of inseparable partitions of n; see Comments. A325535

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order. A210309

Sum over all partitions of n of the bitwise OR of the parts. A306902

Numbers of the form 68+p² (where p is a prime). A138691

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w³ < x³ + y³. A211650

Numbers of unstrained alkane staggered conformers (acyclic) of the unbranched type for point group C1. See Table 4 of the Cyvin et al. reference for precise definition. A126877

Number of (n+1)X3 0..3 arrays containing all values 0..3 with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order. A210303

Number of (n+1)X4 0..3 arrays containing all values 0..3 with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order. A210304

a(n) = greatest number in row n of array T given by A027948. A27957