Properties of the Number 27687

Twenty-Seven Thousand Six Hundred Eighty-Seven

Basics

Value: 27686 → 27687 → 27688

Parity: odd

Prime: No

Previous Prime: 27673

Next Prime: 27689

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 839

Divisors: 1, 3, 11, 33, 839, 2517, 9229, 27687

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110000100111

Octal: 66047

Duodecimal: 14033

Hexadecimal: 6c27

Square: 766569969

Square Root: 166.39411047269672

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

Numbers k such that 5 is the smallest decimal digit of k². A291630

a(n) = 839·n. A135639

Q(n,6), where Q(m,k) is defined in A127080 and A127137. A127148

Solution of the complementary equation a(n) = 2·a(n-2) + b(n-2), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A295998

Number of (n+1) X (4+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258550

Coefficient of xⁿ in the expansion of ( (1+x)² / (1-x³)³ )ⁿ. A370217

Consecutive states of the linear congruential pseudo-random number generator (1597·s + 51749) mod 244944 when started at s=1. A385359

Numbers m such that σ(m) = τ(m)! where σ(k) = A000203(k) and τ(k) = A000005(k). A351866

4-perfect (quadruply-perfect or sous-triple) numbers: sum of divisors of n is 4n. A27687

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258554