Properties of the Number 47106

Forty-Seven Thousand One Hundred Six

Basics

Value: 47105 → 47106 → 47107

Parity: even

Prime: No

Previous Prime: 47093

Next Prime: 47111

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 2617

Divisors: 1, 2, 3, 6, 9, 18, 2617, 5234, 7851, 15702

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011100000000010

Octal: 134002

Duodecimal: 23316

Hexadecimal: b802

Square: 2218975236

Square Root: 217.03916697223107

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

T(n,k) = number of (n+1) X (k+1) 0..2 arrays with no 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors or the same number of counterclockwise edge increases as its vertical neighbors. A206676

a(n) = ∑_k=0..n binomial(2·k,k) * binomial(n·k,n-k). A361829

Number of points on surface of truncated cube: a(n) = 46·n² + 2 for n > 0. A5911

Number of (n+1) X 3 0..2 arrays with no 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors or the same number of counterclockwise edge increases as its vertical neighbors. A206670

Number of (n+1) X 5 0..2 arrays with no 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors or the same number of counterclockwise edge increases as its vertical neighbors. A206672

T(n,n+1), array T as in A047100. A47106