Properties of the Number 29708

Twenty-Nine Thousand Seven Hundred Eight

Basics

Value: 29707 → 29708 → 29709

Parity: even

Prime: No

Previous Prime: 29683

Next Prime: 29717

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 7 × 1061

Divisors: 1, 2, 4, 7, 14, 28, 1061, 2122, 4244, 7427

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010000001100

Octal: 72014

Duodecimal: 15238

Hexadecimal: 740c

Square: 882565264

Square Root: 172.36008818749195

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 regions in a regular drawing of the complete bipartite graph K_n,n. A290131

Number of ways to place 3 nonattacking kings on an n X n board. A61996

Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1<=k<=m positions can be picked in an m X m square array such that all positions are mutually isolated. Two positions (s,t),(u,v) are considered as isolated from each other if min(abs(s-u),abs(t-v))>1. A98487

T(n,k)=Number of nXk 0..3 arrays with no element equal to the sum of elements to its left or the sum of the elements above it or the sum of the elements diagonally to its northwest or the sum of the elements antidiagonally to its northeast, modulo 4. A240250

Number of partitions of n with rank a multiple of 3. A328988

a(n) is the smallest value of k such that number of non-unitary prime divisors of k-th Catalan number, A000108(k) = C(2·k,k)/(k+1) equals n. A81395

Numbers n such that the Crandall number C = A262961(n) has exactly one prime divisor p >= n/2. A265079

Number of nX4 0..3 arrays with no element equal to the sum of elements to its left or the sum of elements above it or the sum of the elements diagonally to its northwest or the sum of the elements antidiagonally to its northeast, modulo 4. A240246

Number of partitions of n into parts not of the form 17k, 17k+2 or 17k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 7 are greater than 1. A35963

Number of stacks of n triangles, pointing upwards or downwards depending on row parity. A224704