Properties of the Number 29237

Twenty-Nine Thousand Two Hundred Thirty-Seven

Basics

Value: 29236 → 29237 → 29238

Parity: odd

Prime: No

Previous Prime: 29231

Next Prime: 29243

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 13 ² × 173

Divisors: 1, 13, 169, 173, 2249, 29237

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001000110101

Octal: 71065

Duodecimal: 14B05

Hexadecimal: 7235

Square: 854802169

Square Root: 170.98830369355676

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) = (6·n+1)*(6·n+5). A1513

Indices of primes in sequence defined by A(0) = 73, A(n) = 10·A(n-1) + 23 for n > 0. A101144

Expansion of x²*(3·x³+145·x²-507·x-25) / ((x-1)*(x²-34·x+1)*(x²+34·x+1)). A144942

a(n) = prime(n)² - 4·prime(n). A245034

a(n) is the n-th pentagonal number which is the sum of two consecutive pentagonal numbers. A133301

Lengths of runs in A100060. A102523

Rectangular array A read by upward antidiagonals in which the entry in row n and column k is defined by A(n,k) = A254067(n,k) - A257499(n,k), n,k >= 1. A254131

Expansion of 1/((1-x²)*(1-x⁸)*(1-x⁹)*(1-x¹¹)). A29237

Increasing a(n)is the smallest number of the form p^a*q^b, where a,b are positive integers and p < q are odd primes such that max( p^a, q^b)/min( p^a, q^b) <= 1 + 2/prime(n). A229108