Properties of the Number 34134

Thirty-Four Thousand One Hundred Thirty-Four

Basics

Value: 34133 → 34134 → 34135

Parity: even

Prime: No

Previous Prime: 34129

Next Prime: 34141

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5689

Divisors: 1, 2, 3, 6, 5689, 11378, 17067, 34134

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000010101010110

Octal: 102526

Duodecimal: 17906

Hexadecimal: 8556

Square: 1165129956

Square Root: 184.75389035146188

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

Image of 1 under repeated application of the morphism 1 -> 12312, 2 -> 341, 3 -> 34134, 4 -> 123. A316340

Sum of largest parts of all partitions of n into an odd number of parts. A222047

Expansion of b(q²) * c(q⁶) / (b(q) * c(q³)) in powers of q where b(), c() are cubic AGM θ functions. A123629

Expansion of φ(q) * φ(-q¹⁸) / (φ(-q³) * φ(-q⁶)) in powers of q where φ() is a Ramanujan θ function. A139213

Expansion of q * φ(-q²) * ψ(q⁹) / (f(q³) * φ(q³)) in powers of q where f(), φ(), ψ() are Ramanujan θ functions. A233670

Number of bipartite partitions of n white objects and 8 black ones. A2757

Expansion of c(q²) * b(q⁶) / (b(q) * c(q) * b(q³) * c(q³))^1/2 in powers of q where b(), c() are cubic AGM θ functions. A212484

Concatenations x||1||x for numbers x. A392225

Numbers k such that k² +/- (k-1) and (k-1)*k² +/- 1 are all primes. A239326

Number of n-node unlabeled rooted trees with thickening limbs and root outdegree (branching factor) 4. A245144