Properties of the Number 27984

Twenty-Seven Thousand Nine Hundred Eighty-Four

Basics

Value: 27983 → 27984 → 27985

Parity: even

Prime: No

Previous Prime: 27983

Next Prime: 27997

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 11 × 53

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110101010000

Octal: 66520

Duodecimal: 14240

Hexadecimal: 6d50

Square: 783104256

Square Root: 167.28418933061187

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 benzenoids with 22 hexagons, C_2v symmetry and containing n carbon atoms. A123106

Sum of the fifth powers of the parts in the partitions of n into two distinct parts. A294300

Row sums of A083764. A83766

Number of compositions of n with first part 3 and no equal adjacent parts; this is column 3 of the array in A096568. A96571

Irregular triangle read by rows: T(n,k) = number of ways k brooks (0 <= k <= 2n+1) can be placed on the grid points of an n triboard so that no two brooks lie in the same straight line. A260333

Values of z in solutions (x,y,z) to the Diophantine equation x³-x²+y³-y²=z³-z², with 1<x<y<z arranged in order of increasing x. A138669

Number of prime powers of prime numbers less than 10ⁿ. A76700

Number of length 4+1 0..n arrays with the sum of adjacent differences multiplied by some arrangement of +-1 equal to zero. A250169

G.f.: Re(1/(1 + i·x/(1 + i·x²/(1 + i·x³/(1 + i·x⁴/(1 + i·x⁵/(1 + ...))))))), a continued fraction, where i is the imaginary unit. A293268

Numbers n such that n contains exactly 5 digits, all distinct, and n² contains exactly 9 distinct digits. A204691