Properties of the Number 8112

Eight Thousand One Hundred Twelve

Basics

Value: 8111 → 8112 → 8113

Parity: even

Prime: No

Previous Prime: 8111

Next Prime: 8117

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 13 ²

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110110000

Octal: 17660

Duodecimal: 4840

Hexadecimal: 1fb0

Square: 65804544

Square Root: 90.06664199358161

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

a(1)=1, a(n)=a(n-1)+n if n even, a(n)=a(n-1)+n² if n is odd. A136047

a(n) = n² * φ(n). A53191

a(n) = 12·n². A135453

Partial sums of ceiling(n²/2) (A000982). A131941

Numbers divisible by the sum and product of their digits. A38186

Numbers k such that σ(x) = k has exactly 7 solutions. A60663

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 9 multiples of n-1, n-2, ..., 1, for n>=1. A113746

a(n) = 4·a(n-1) + 4·a(n-2), n>2, a(0)=1, a(1)=3, a(2)=15. A155117

Indices of semiprimes where largest gap occurs. Or, positions of records in A065516. A85809

A triangle related to the a(n) formulas of the rows of the ED3 array A167572. A167580