Properties of the Number 33405

Thirty-Three Thousand Four Hundred Five

Basics

Value: 33404 → 33405 → 33406

Parity: odd

Prime: No

Previous Prime: 33403

Next Prime: 33409

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 17 × 131

Divisors: 1, 3, 5, 15, 17, 51, 85, 131, 255, 393

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001001111101

Octal: 101175

Duodecimal: 173B9

Hexadecimal: 827d

Square: 1115894025

Square Root: 182.7703477044348

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 strings of length n over a 5-letter alphabet that begin with a nontrivial palindrome. A249638

Number of nX2 0..1 arrays with every element unequal to 0, 1 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317767

Number of partitions of n with exactly three sorts of part 1 which are introduced in ascending order. A320816

Table read by upward antidiagonals: T(n,k) is the number of strings of length k over an n-letter alphabet that begin with a palindrome of two or more letters; n, k >= 1. A342237

Quadruples of different integers from [ 1,n ] with no common factors between triples. A15625

Partial sums of the tricapped prism numbers A005920. A187673

Product of n and the total number of parts in all partitions of n. Also, product of n and the sum of largest parts of all partitions of n. A256010

a(n) = floor(85/n). A33405