Properties of the Number 3305

Three Thousand Three Hundred Five

Basics

Value: 3304 → 3305 → 3306

Parity: odd

Prime: No

Previous Prime: 3301

Next Prime: 3307

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 661

Divisors: 1, 5, 661, 3305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011101001

Octal: 6351

Duodecimal: 1AB5

Hexadecimal: ce9

Square: 10923025

Square Root: 57.48912940721924

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

Number of partitions of n into prime power parts (1 excluded). A23894

Number of compositions of n with no adjacent triples (..., x, y, z, ...) where x <= y <= z. A344615

Number of reducible integer partitions of n. A305563

a(0) = 0, a(1) = 1; a(n) = max { 4·a(k) + a(n-k) | 1 <= k <= n/2 }, for n > 1. A116520

a(n) = (4·n³ - 6·n² + 8·n + 3)/3. A161712

Number T(n,k) of entries in the k-th blocks of all set partitions of [n] when blocks are ordered by increasing lengths (and increasing smallest elements); triangle T(n,k), n>=1, 1<=k<=n, read by rows. A319298

G.f.: 1/((1-x)*(1-x²)*(1-x³)²*(1-x⁴)*(1-x⁵)). A3402

n satisfying σ(n+1) = σ(n-1). A55574

T(n,k)=Number of length n+3 0..k arrays with some pair in every consecutive four terms totalling exactly k. A245950

The number of rectangles (orthogonal or not) with corners on an n X n grid of points. A85582