Properties of the Number 89022

Eighty-Nine Thousand Twenty-Two

Basics

Value: 89021 → 89022 → 89023

Parity: even

Prime: No

Previous Prime: 89021

Next Prime: 89041

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 37 × 401

Divisors: 1, 2, 3, 6, 37, 74, 111, 222, 401, 802

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101101110111110

Octal: 255676

Duodecimal: 43626

Hexadecimal: 15bbe

Square: 7924916484

Square Root: 298.3655476089691

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

T(n,k) = number of (n+1) X (k+1) 0..2 arrays with every 2 X 3 or 3 X 2 subblock having an unequal number of clockwise and counterclockwise edge increases. A206685

Number of (directed) Hamiltonian circuits on the n-antiprism graph. A124353

Number of sequences of length n with elements {-2,-1,+1,+2}, such that the sum of elements of the whole sequence but of no proper subsequence equals 0 modulo n. For n>=4, the number of Hamiltonian (directed) circuits on the circulant graph C_n(1,2). A137725

Number of (n+1) X 4 0..2 arrays with every 2 X 3 or 3 X 2 subblock having an unequal number of clockwise and counterclockwise edge increases. A206680

The number of closed λ calculus terms of size n that have a normal form, where size(λ M)=2+size(M), size(M N)=2+size(M)+size(N), and size(V)=1+i for a variable V bound by the i-th enclosing λ. A333958

Number of (n+1) X (n+1) 0..2 arrays with every 2 X 3 or 3 X 2 subblock having an unequal number of clockwise and counterclockwise edge increases. A206677

Number of walks of length 2n on the 3-regular tree beginning and ending at some fixed vertex. A89022