Properties of the Number 17896

Seventeen Thousand Eight Hundred Ninety-Six

Basics

Value: 17895 → 17896 → 17897

Parity: even

Prime: No

Previous Prime: 17891

Next Prime: 17903

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 2237

Divisors: 1, 2, 4, 8, 2237, 4474, 8948, 17896

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010111101000

Octal: 42750

Duodecimal: A434

Hexadecimal: 45e8

Square: 320266816

Square Root: 133.77593206552515

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

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202670 based on A000290 (the squares); by antidiagonals. A202671

Expansion of ∏_k>=1 ((1 - x^k)/(1 + x^k))^σ(k). A320971

G.f. satisfies: A(x) = exp( ∑_n>=1 xⁿ*A(x)ⁿ/n * ∑_k=0..2·n A084606(n,k)² * x^k * A(x)^2·k ), where A084606(n,k) = [x^k] (1 + 2·x + 2·x²)ⁿ. A218298

Start with 1 and repeatedly reverse the digits and add 55 to get the next term. A118161

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 878", based on the 5-celled von Neumann neighborhood. A273741

a(n) = a(n-2) + 2·a(n-4) - a(n-10), with a[0..9] = [1, 1, 1, 1, 1, 2, 3, 5, 6, 9]. A366143

Expansion of 1/(1-x¹⁰-x¹¹-x¹²-x¹³-x¹⁴-x¹⁵-x¹⁶-x¹⁷-x¹⁸-x¹⁹-x²⁰). A17896

Number of (3+1) X (n+1) arrays of permutations of 0..n·4+3 with each element having directed index change 0,1 2,2 1,0 -1,2 -2,-1 or -1,-1. A264424