Properties of the Number 33305

Thirty-Three Thousand Three Hundred Five

Basics

Value: 33304 → 33305 → 33306

Parity: odd

Prime: No

Previous Prime: 33301

Next Prime: 33311

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 6661

Divisors: 1, 5, 6661, 33305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001000011001

Octal: 101031

Duodecimal: 17335

Hexadecimal: 8219

Square: 1109223025

Square Root: 182.49657531033287

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 exp(-x) / (1 - exp(x) + exp(-x)). A556

T(n,k)=Number of -k..k arrays of n elements with adjacent element differences also in -k..k. A201042

Triangle read by rows: coefficients of expansion of certain weighted sums P₁(n,k) of Fibonacci numbers as a sum of powers. A341723

Number of base 7 n-digit numbers with adjacent digits differing by three or less. A126475

Array read by antidiagonals: T(m,n) = number of m-ary words of length n with adjacent elements differing by 3 or less. A285267

Smallest odd number k>1 such that k·2^A000043(n)+1 is a prime number. A253027

Number of -n..n arrays of 6 elements with adjacent element differences also in -n..n. A201045

Numbers whose base-8 representation has exactly 6 runs. A43628

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (-1, 1, -1), (0, 1, 1), (1, -1, -1)}. A148221

Number of permutations (p1,...,pn) such that 1 <= |pk - k| <= 2 for all k. A33305