Properties of the Number 34729

Thirty-Four Thousand Seven Hundred Twenty-Nine

Basics

Value: 34728 → 34729 → 34730

Parity: odd

Prime: Yes

Previous Prime: 34721

Next Prime: 34739

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 34729

Divisors: 1, 34729

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011110101001

Octal: 103651

Duodecimal: 18121

Hexadecimal: 87a9

Square: 1206103441

Square Root: 186.3571839237758

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

Expansion of 1/(1 - x² - x³ - x⁴) = 1/((1 + x)*(1 - x - x³)). A13979

Primes which satisfy the requirements of A380943 in more than one way. A383810

Expansion of g.f.: (1-x²-x³)/( (1+x)*(1-x-x³) ). A107458

Primes which satisfy the requirements of A380943 in exactly two ways. A383811

3ⁿ times the expected value of the longest run of 0's in all length n words on {0,1,2}. A209241

a(n) is the smallest prime such that it and the previous two primes are all of the form x² + n·y². A212603

Primes p such that 2·p-1 and (2·p-1)²+(2·p)² are also prime. A347165

Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 10001-11111-00100 pattern in any orientation. A147390

Expansion of x*(1-x-x²)/((1-x)*(1-x-2·x²-x³)). A262735

a(n) = ∑_{k, k∣n} 2^k-1. A34729