Properties of the Number 27267

Twenty-Seven Thousand Two Hundred Sixty-Seven

Basics

Value: 27266 → 27267 → 27268

Parity: odd

Prime: No

Previous Prime: 27259

Next Prime: 27271

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 61 × 149

Divisors: 1, 3, 61, 149, 183, 447, 9089, 27267

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010000011

Octal: 65203

Duodecimal: 13943

Hexadecimal: 6a83

Square: 743489289

Square Root: 165.12722367919832

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 T(n,k) of set partitions of [n] where k is minimal such that for each block b the smallest integer interval containing b has at most k elements; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A276727

T(n,k) = Number of lower triangles of an n X n -k..k array with all row and column sums zero. A195522

Number of set partitions of [n] such that for each block b the smallest integer interval containing b has at most eight elements and for at least one block c the smallest integer interval containing c has exactly eight elements. A320558

Number of lower triangles of a 5 X 5 -n..n array with all row and column sums zero. A195523

Indices of terms in A091074 which are prime numbers. A91076

Number of lower triangles of an n X n -3..3 array with all row and column sums zero. A195517

a(n) = self-convolution of row n of array T given by A026536. A27267