Properties of the Number 29193

Twenty-Nine Thousand One Hundred Ninety-Three

Basics

Value: 29192 → 29193 → 29194

Parity: odd

Prime: No

Previous Prime: 29191

Next Prime: 29201

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 37 × 263

Divisors: 1, 3, 37, 111, 263, 789, 9731, 29193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001000001001

Octal: 71011

Duodecimal: 14A89

Hexadecimal: 7209

Square: 852231249

Square Root: 170.859591477915

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 subsets S of {1,2,...,n} which contain a number that is greater than the sum of the other numbers in S. A95944

Numbers n such that n² + 1 is divisible by a 5th power. A218564

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 485", based on the 5-celled von Neumann neighborhood. A272504

a(n) = a(n-1) + 3·a(n-2) -2·a(n-3) - 2·a(n-4), where a(0) = -1, a(1) = 0, a(2) = 1, a(3) = 1. A295729

Number of partitions in parts not of the form 23k, 23k+3 or 23k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 10 are greater than 1. A35991

Irregular triangle read by rows: row n lists 0 <= k < p² such that p² divides A172236(k, p-Kronecker(k²+4, p)), p = prime(n). A320162

Expansion of 1/((1-x²)*(1-x⁵)*(1-x⁶)*(1-x⁷)). A29193