Properties of the Number 27729

Twenty-Seven Thousand Seven Hundred Twenty-Nine

Basics

Value: 27728 → 27729 → 27730

Parity: odd

Prime: No

Previous Prime: 27701

Next Prime: 27733

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 13 × 79

Divisors: 1, 3, 9, 13, 27, 39, 79, 117, 237, 351

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110001010001

Octal: 66121

Duodecimal: 14069

Hexadecimal: 6c51

Square: 768897441

Square Root: 166.520269036535

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

a(n) is the decimal concatenation of n and n². A53061

Digits d in decimal expansion of n replaced with d³. A48390

a(1) = 2, a(n) = smallest number > a(n-1) such that the concatenation of a(n-1) and a(n) is a square. A265147

Consecutive states of the linear congruential pseudo-random number generator 259·s mod 2¹⁵ when started at s=1. A384194

Consecutive states of the linear congruential pseudo-random number generator 172·s mod 30307 when started at s=1. A385032

Number of 4-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero with no three beads in a row equal. A208946

a(n) = ∑_{k=0..floor(n/4)} binomial(n-3·k-1,k) * binomial(k,n-4·k). A383584

Numbers k that divide 7^k + 2^k. A45580

Numbers k that divide 7^k + 5^k. A45596

a(n) = floor(n^3/2)*floor(3+n^3/2)/2. A185593