Properties of the Number 33807

Thirty-Three Thousand Eight Hundred Seven

Basics

Value: 33806 → 33807 → 33808

Parity: odd

Prime: No

Previous Prime: 33797

Next Prime: 33809

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 59 × 191

Divisors: 1, 3, 59, 177, 191, 573, 11269, 33807

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010000001111

Octal: 102017

Duodecimal: 17693

Hexadecimal: 840f

Square: 1142913249

Square Root: 183.86679961319825

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(n) = ∑_d∣n d·2^n-d. A90879

Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape N; triangle T(n,k), n>=0, read by rows. A247705

Maximum number of ways in which a set of integer-sided rectangular pieces can tile an n X 3 rectangle, up to rotations and reflections. A361225

First row sum of the matrix Mⁿ, where M is the 5 X 5 matrix {{0,-1,-1,-1,-1}, {-1,0,-1,-1,0}, {-1,-1,0,0,0}, {-1,-1,0,1,0}, {-1,0,0,0,1}}. A122174

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, -1, 1), (-1, 0, -1), (0, 1, 0), (1, -1, 0)}. A148046

Product t2(q^d); d | 48, where t2 = theta2(q)/(2·q^1/4). A33807