Properties of the Number 27678

Twenty-Seven Thousand Six Hundred Seventy-Eight

Basics

Value: 27677 → 27678 → 27679

Parity: even

Prime: No

Previous Prime: 27673

Next Prime: 27689

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 659

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 659, 1318

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110000011110

Octal: 66036

Duodecimal: 14026

Hexadecimal: 6c1e

Square: 766071684

Square Root: 166.36706404814626

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

Triangle T, read by rows, where the matrix square T² results in shifting T right one column to drop the secondary diagonal. A152391

Column 0 of triangle A152391. A152392

Number of partitions of n with even minimal part and odd maximal part. A325344

a(n) = 19 + floor( ∑_j=1..n-1 a(j) / 2 ). A120144

Triangle read by rows: T(n,m) (n >= 1, 1 <= m <= n) = number of set partitions of [n], avoiding 12343, with m blocks. A250118

a(n) = (-1)ⁿ*Sum((-1)^j*b(j), j=1..n), where b(n)=(n-1)!*(n² - n + 1) = A001564(n-1) (n>=1). A180195

Monotonically increasing sequence of least positive integers, a(1)=1, such that the self-convolution produces all squares. A87150

Number of distinct n X n patterns in the squiral tiling. A375874

Number of polybes. A88678

Number of nondecreasing -n..n vectors of length 5 whose dot product with some lexicographically greater or equal nondecreasing -n..n vector equals 5. A226426