Properties of the Number 88192

Eighty-Eight Thousand One Hundred Ninety-Two

Basics

Value: 88191 → 88192 → 88193

Parity: even

Prime: No

Previous Prime: 88177

Next Prime: 88211

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁷ × 13 × 53

Divisors: 1, 2, 4, 8, 13, 16, 26, 32, 52, 53

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101100010000000

Octal: 254200

Duodecimal: 43054

Hexadecimal: 15880

Square: 7777828864

Square Root: 296.97137909232936

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

Triangle read by rows: T(n,k) is the number of 2-compositions of n having k columns with an even sum (0<=k<=floor(n/2)). A181327

Number of 2-compositions of n having no column with an even sum. A 2-composition of n is a nonnegative matrix with two rows, such that each column has at least one nonzero entry and whose entries sum up to n. A181329

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = (primes). A24468

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = (1, p(1), p(2), ...). A24460

Distance between prime(n) and the largest quadratic residue modulo prime(n). A88192

A complex matrix self-similar coefficient set of the imaginary part based on the Hadamard matrix pattern: {{1,1},{1,I}}. A158566