Properties of the Number 27667

Twenty-Seven Thousand Six Hundred Sixty-Seven

Basics

Value: 27666 → 27667 → 27668

Parity: odd

Prime: No

Previous Prime: 27653

Next Prime: 27673

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 73 × 379

Divisors: 1, 73, 379, 27667

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110000010011

Octal: 66023

Duodecimal: 14017

Hexadecimal: 6c13

Square: 765462889

Square Root: 166.33400133466398

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 compositions (ordered partitions) of n into distinct squarefree parts. A331846

5x - 1 sequence starting at 19 (a(n+1) = a(n)/2 if a(n) is even, or 5·a(n)-1 if a(n) is odd). A37238

One-quarter of the number of regions in the central square of an equal-armed cross with arms of length n (as in A331456). A337641

Semiprimes k such that k is congruent to 3 modulo k's index in the sequence of semiprimes. A357807

Number of independent subsets of nodes of 3ⁿ cube (P₃ X ... X P₃). A27667

The simple continued fraction expansion of F(x) := ∏_{n >= 0} (1 - x^4·n+3)/(1 - x^4·n+1) when x = (1/2)*(9 - sqrt(77)). A221367

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally and vertically. A256898