Properties of the Number 29935

Twenty-Nine Thousand Nine Hundred Thirty-Five

Basics

Value: 29934 → 29935 → 29936

Parity: odd

Prime: No

Previous Prime: 29927

Next Prime: 29947

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 5987

Divisors: 1, 5, 5987, 29935

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010011101111

Octal: 72357

Duodecimal: 153A7

Hexadecimal: 74ef

Square: 896104225

Square Root: 173.01734017144062

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 arrays of permutations of 0..n·k-1 with rows nondecreasing modulo 6 and columns nondecreasing modulo 7. A264862

Row sums of triangle A137629. A137630

Number of (n+2)X(n+2) 0..2 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock. A186559

Number of (n+2) X 8 0..2 arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock. A186565

Numbers n such that n!3 + 3⁸ is prime, where n!3 = n!!! is a triple factorial number (A007661). A264867

Number of 2Xn arrays of permutations of 0..n·2-1 with rows nondecreasing modulo 6 and columns nondecreasing modulo 7. A264863

a(n) = ∑_{d divides n} φ(d)*φ(n/d). A29935

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock. A186568