Properties of the Number 22096

Twenty-Two Thousand Ninety-Six

Basics

Value: 22095 → 22096 → 22097

Parity: even

Prime: No

Previous Prime: 22093

Next Prime: 22109

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 1381

Divisors: 1, 2, 4, 8, 16, 1381, 2762, 5524, 11048, 22096

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101011001010000

Octal: 53120

Duodecimal: 10954

Hexadecimal: 5650

Square: 488233216

Square Root: 148.64723340849636

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 A(n,k) of paths starting at {n}^k to a border position where one component equals 0 using steps that decrement one component by 1; square array A(n,k), n>=0, k>=0, read by antidiagonals. A210472

T(n,k)=Number of (n+5)X(k+5) 0..1 matrices with each 6X6 subblock idempotent. A224577

Main diagonal of the quadruple recurrence x(i,j,k,m) = x(i-1,j,k,m) + x(i,j-1,k,m) + x(i,j,k-1,m) + x(i,j,k,m-1) with x(i,j,k,m) = 1 if 0 in {i,j,k,m}. A209288

Integers n > 10553 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10553. A63061

Number of paths starting at {3}ⁿ to a border position where one component equals 0 using steps that decrement one component by 1. A210486

Least k such that A000668(n) + k is prime, where A000668(n) is the n-th Mersenne prime. A365160

a(n) = ∑_{k=0..floor(n/4)} 2^n-4·k * binomial(2·n-6·k+1,2·k). A387693

Number of (n+5)X6 0..1 matrices with each 6X6 subblock idempotent. A224570

Number of (n+5) X 10 0..1 matrices with each 6 X 6 subblock idempotent. A224574

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 241", based on the 5-celled von Neumann neighborhood. A270990