Properties of the Number 47192

Forty-Seven Thousand One Hundred Ninety-Two

Basics

Value: 47191 → 47192 → 47193

Parity: even

Prime: No

Previous Prime: 47189

Next Prime: 47207

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 17 × 347

Divisors: 1, 2, 4, 8, 17, 34, 68, 136, 347, 694

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011100001011000

Octal: 134130

Duodecimal: 23388

Hexadecimal: b858

Square: 2227084864

Square Root: 217.23719755143225

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

G.f.: ∑_k>=1 x^2·k/(1-x^2·k) * ∏_k>=1 (1+x^k)/(1-x^k). A305104

Number of 3Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically. A207070

G.f. A(x) satisfies: A( x·A(x) - A(x)² ) = -x³. A273955

p-INVERT of (0,1,0,1,0,1, ...), where p(S) = (1 - 2 S - S²)². A291254

Number of 2 X 2 matrices having entries in {0,1,...,n} and determinant in the open interval (-n,n) with no entry repeated. A279273

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically. A207068

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically. A207123

Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-2)/2. A47192