Properties of the Number 27084

Twenty-Seven Thousand Eighty-Four

Basics

Value: 27083 → 27084 → 27085

Parity: even

Prime: No

Previous Prime: 27077

Next Prime: 27091

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 37 × 61

Divisors: 1, 2, 3, 4, 6, 12, 37, 61, 74, 111

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100111001100

Octal: 64714

Duodecimal: 13810

Hexadecimal: 69cc

Square: 733543056

Square Root: 164.57217261736565

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 integer partitions of n with all distinct lengths of maximal gapless runs (decreasing by 0 or 1). A384884

Even dodecagonal numbers: a(n) = 4·n*(5·n - 2). A193872

Row sums of the array A274196, defined by g(n,k) = 1 for n >= 0; g(n,k) = 0 if k > n; g(n,k) = g(n-1,k-1) + g(n-1,4k) for n > 0, k > 1. A274197

Numbers k such that k·2^k - k - 1 is prime. A46843

Sum of the asymmetry degrees of all compositions of n with parts in {3,4,5,6, ...}. A276059

Numbers k such that φ(σ(k)+k) = σ(k-φ(k)), where φ is A000010 and σ is A000203. A63710

Triangle read by rows giving coefficients in Gould's polynomials for counting fountains of coins. A259879

G.f.: ∑_n=-oo..+oo Fibonacci(n+1) * xⁿ * (1-xⁿ)ⁿ. A292498

Sum of the heights of symmetric peaks over all compositions of the integer n. A393175

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 0, 1), (0, 1, -1), (1, -1, 0)}. A148101