Properties of the Number 34905

Thirty-Four Thousand Nine Hundred Five

Basics

Value: 34904 → 34905 → 34906

Parity: odd

Prime: No

Previous Prime: 34897

Next Prime: 34913

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 13 × 179

Divisors: 1, 3, 5, 13, 15, 39, 65, 179, 195, 537

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100001011001

Octal: 104131

Duodecimal: 18249

Hexadecimal: 8859

Square: 1218359025

Square Root: 186.82879863661276

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

Numbers k such that σ(k) = σ(k+13). A15883

Numbers k such that k² | A038199(k). A317475

Riordan array (1/(1-x-x²), x(1+x)/(1-x-x²)²). A112973

Number of planar n X n X n binary triangular grids with no more than 2 ones in any similarly oriented 5 X 5 X 5 subtriangle. A153564

G.f. A(x) satisfies: 0 = [xⁿ] (1+x)^n*(n-1/2) / A(x) for n>0. A304184

O.g.f.: A(x) = ∑_n>=0 xⁿ / ∏_k=0..n (1 - k*(k+1)/2·x). A124373

Numbers whose square contains no loops in its digits (assumes 1, 2, 3, 5, 7 have no loops and 0, 4, 6, 8, 9 do). A34905

G.f. A(x) satisfies [xⁿ] A(x)^prime(n) = prime(n)ⁿ for n >= 1. A392214