Properties of the Number 22035

Twenty-Two Thousand Thirty-Five

Basics

Value: 22034 → 22035 → 22036

Parity: odd

Prime: No

Previous Prime: 22031

Next Prime: 22037

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 13 × 113

Divisors: 1, 3, 5, 13, 15, 39, 65, 113, 195, 339

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101011000010011

Octal: 53023

Duodecimal: 10903

Hexadecimal: 5613

Square: 485541225

Square Root: 148.44190782929192

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

Let M denote the 6 X 6 matrix with rows /1,1,1,1,1,1/1,1,1,1,1,0/1,1,1,1,0,0/1,1,1,0,0,0/1,1,0,0,0,0/1,0,0,0,0,0/ and A(n) the vector (x(n),y(n),z(n),t(n),u(n),v(n)) = Mⁿ*A where A is the vector (1,1,1,1,1,1); then a(n) = z(n). A69008

Partial sums of A001935; at one time this was conjectured to agree with A007478. A14605

Number of (w,x,y,z) with all terms in {1,...,n} and w·x<3·y*z. A211917

Numbers n such that the Collatz iterations for n and n + 1 have the same length (A078417) but do not meet a certain condition. (See comments.) A274410

Number of (n+2) X (3+2) 0..3 arrays with every consecutive three elements in every row and column having exactly two distinct values, and in every diagonal and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252690

Number of palindromic compositions of n into nonprime numbers. A276421

Define the sequence T(a(0),a(1)) by a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n) for n >= 0. This is T(6,37). A22035