Properties of the Number 27929

Twenty-Seven Thousand Nine Hundred Twenty-Nine

Basics

Value: 27928 → 27929 → 27930

Parity: odd

Prime: No

Previous Prime: 27919

Next Prime: 27941

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 11 × 2539

Divisors: 1, 11, 2539, 27929

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110110100011001

Octal: 66431

Duodecimal: 141B5

Hexadecimal: 6d19

Square: 780029041

Square Root: 167.1197175679758

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 unlabeled forests of rooted trees with 2n edges and n connected components, in which the outdegree of each node is <= 2 and the symmetric group acts on the components. A305839

Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240149

Number of (7+2)X(n+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252968

Numbers k such that (61·10^k - 1)/3 is prime. A295395

Sum of the fourth largest parts in the partitions of n into 6 parts. A308870

T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252961

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240153

a(n) = T(n, 2·n-6), T given by A027926. A27929

First differences of indices of squarefree central binomial numbers. A106578