Properties of the Number 35305

Thirty-Five Thousand Three Hundred Five

Basics

Value: 35304 → 35305 → 35306

Parity: odd

Prime: No

Previous Prime: 35291

Next Prime: 35311

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 23 × 307

Divisors: 1, 5, 23, 115, 307, 1535, 7061, 35305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000100111101001

Octal: 104751

Duodecimal: 18521

Hexadecimal: 89e9

Square: 1246443025

Square Root: 187.89624796679684

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 x*(1+x)/(1-x²-2·x³). A159284

The maximum number of coins that can be processed in n weighings where all coins are real except for one LHR-coin starting in the light state. A279673

Expansion of (1-x)/(1-x²+2·x³). A78028

Expansion of g.f. x*(-1-x-3·x²-x³+2·x⁵)/((2·x³+x²-1)*(x⁴+1)). A107851

Numbers n such that A003146(n) = floor(α³*n)+1, where α = 1.839... is the positive real zero of x³-x²-x-1. A278353

Number of partitions of n into parts not of the form 25k, 25k+10 or 25k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 11 are greater than 1. A36009

Square table defined by T(n,k) = ∑_{m=k(k+1)/2..k(k+1)/2+k} [x^m] S(x)ⁿ for n>=1, k>=0, where S(x) = ∑_n>=0 x⁽ⁿ⁺¹(n+2)/2-1), as read by antidiagonals. A162424

Minimum sum of n distinct positive numbers, any n-1 of which sum to a square. A35305