Properties of the Number 47166

Forty-Seven Thousand One Hundred Sixty-Six

Basics

Value: 47165 → 47166 → 47167

Parity: even

Prime: No

Previous Prime: 47161

Next Prime: 47189

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 1123

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 1123, 2246

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100000111110

Octal: 134076

Duodecimal: 23366

Hexadecimal: b83e

Square: 2224631556

Square Root: 217.17734688498246

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

Triangle read by rows: T(n,k) = ∑_i=k..n i!*Stirling2(n,i), n >= 1, 1 <= k <= n. A84416

Number of essentially series achiral series-parallel networks with n elements. A339157

Number of preferential arrangements of n labeled elements when at least k=three ranks are required. A102232

Triangle read by rows: T(n,k)=sum((n+1-i)!*stirling2(n,n+1-i),i=1..k), n>=1, 1<=k<=n. A84417

E.g.f. satisfies A(x) * log(A(x)) = (exp(x·A(x)) - 1)³. A357087

Triangle T(n,k) = 3·binomial(n-floor((k+1)/2), floor(k/2))-2 with k=0..n, read by rows. A131299

Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= n/2. A47166