Properties of the Number 34658

Thirty-Four Thousand Six Hundred Fifty-Eight

Basics

Value: 34657 → 34658 → 34659

Parity: even

Prime: No

Previous Prime: 34651

Next Prime: 34667

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 13 × 31 × 43

Divisors: 1, 2, 13, 26, 31, 43, 62, 86, 403, 559

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011101100010

Octal: 103542

Duodecimal: 18082

Hexadecimal: 8762

Square: 1201176964

Square Root: 186.16659206205608

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(0) = 1, a(n) = 24·n² + 2 for n>0. A10014

Number of partitions of n where the difference between consecutive parts is at most 6. A238866

Number of gap-free Carlitz compositions of n. A374726

a(n) = 36·n² + 2·n. A158064

Triangle read by rows: T(n,k) is the number of weighted lattice paths in L_n having k returns to the horizontal axis (both from above and below). The members of L_n are paths of weight n that start at (0,0) , end on the horizontal axis and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps. A182898

G.f. A(x) satisfies: prime(n-1) iteration of A(x) yields a zero coefficient of xⁿ for n>2. A227886

θ series of (putative) extremal 3-modular even lattice in dimension 96. A34658