Properties of the Number 27639

Twenty-Seven Thousand Six Hundred Thirty-Nine

Basics

Value: 27638 → 27639 → 27640

Parity: odd

Prime: No

Previous Prime: 27631

Next Prime: 27647

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 37 × 83

Divisors: 1, 3, 9, 37, 83, 111, 249, 333, 747, 3071

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101111110111

Octal: 65767

Duodecimal: 13BB3

Hexadecimal: 6bf7

Square: 763914321

Square Root: 166.24981202996892

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

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299465

Integers N such that by inserting + or - or·or / or ^ between each of their digits, without any grouping parentheses, you can get N (the ambiguous a^b^c is avoided). A156954

a(n) is the square of the n-th partial sum minus the n-th partial sum of the squares, divided by a(n-1), for all n>=1, starting with a(0)=1, a(1)=5. A87958

Near 2-hyperperfect numbers: numbers k such that σ(k) - 3·k/2 - 1/2 is a proper divisor of k. A305616

Numbers k such that σ(k) = φ(k+1) + φ(k) + φ(k-1). A65986

Odd numbers n such that the sum of the binary digits of n and n² both equal 12. A261593

Number of 5 X n binary arrays with rows and columns lexicographically nondecreasing and column sums nonincreasing. A266472

Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299461

Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299463

Numbers that can be represented using their digits in the order of appearance, the operations +, -, *, /, ^, and any parentheses. A386936