Properties of the Number 47216

Forty-Seven Thousand Two Hundred Sixteen

Basics

Value: 47215 → 47216 → 47217

Parity: even

Prime: No

Previous Prime: 47207

Next Prime: 47221

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 13 × 227

Divisors: 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011100001110000

Octal: 134160

Duodecimal: 233A8

Hexadecimal: b870

Square: 2229350656

Square Root: 217.29242968865714

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

Number T(n,k) of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A262125

Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + ((n+1)²*(n+2)²*(2·n² +6·n +3)/12)*T(n-2, k-1), read by rows. A154231

Number of oriented series-parallel networks with n elements of 2 colors. A339226

Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of two. A320976

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..2 array extended with zeros and convolved with 1,2,1. A222121

[ exp(3/19)*n! ]. A30875

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (0, 1, -1), (1, 0, 1), (1, 1, 0)}. A150741

Numbers that are congruent to {1, 2} mod 5. A47216