Properties of the Number 62112

Sixty-Two Thousand One Hundred Twelve

Basics

Value: 62111 → 62112 → 62113

Parity: even

Prime: No

Previous Prime: 62099

Next Prime: 62119

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 647

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111001010100000

Octal: 171240

Duodecimal: 2BB40

Hexadecimal: f2a0

Square: 3857900544

Square Root: 249.22279189512344

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(n) = 2·a(n-1) + a(n-4). A8999

T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace. A185750

Imbalance of the number of parts of all partitions of n. A194796

Number of (n+1)X3 binary arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace. A185743

Number of (n+1)X7 binary arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace. A185747

Numbers k such that Bernoulli number B_k has denominator 4501770. A295597

Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A301326

a(0)=0; a(1)=1; a(n) = a(n-1) + (3 + (-1)ⁿ)*a(n-2)/2. A62112

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A301330