Properties of the Number 47160

Forty-Seven Thousand One Hundred Sixty

Basics

Value: 47159 → 47160 → 47161

Parity: even

Prime: No

Previous Prime: 47149

Next Prime: 47161

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 131

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011100000111000

Octal: 134070

Duodecimal: 23360

Hexadecimal: b838

Square: 2224065600

Square Root: 217.1635328502463

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,k) is the n-th derivative of f_k at x=1, and f_k is the k-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways; square array A(n,k), n>=0, k>=1, read by antidiagonals. A215703

n-th derivative of x^x at x=1. Also called Lehmer-Comtet numbers. A5727

Sum of all the parts in the partitions of n into 8 squarefree parts. A326444

Triangle read by rows: T(n,k) is the number of paths in the right half-plane from (0,0) to (n,0), consisting of steps U=(1,1), D=(1,-1), h=(1,0) and H=(2,0), having k H=(2,0) steps (0 <= k <= floor(n/2)). A132885

a(n) = (1/n)*∑_i=0..n-1 C(n,i)*C(n,i+1)*7ⁱ*8^n-i, a(0)=1. A133308

Low temperature series for spin-1/2 Ising partition function on 5D simple cubic lattice. A30047

Tenth derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways. A215840

Triangle read by rows, Lah numbers of order 3, T(n,n) = 1, T(n,k) = 0 if k<0 or k>n, otherwise T(n,k) = T(n-1,k-1)+((n-1)³+k³)*T(n-1, k), for n>=0 and 0<=k<=n. A269946

Expansion of (1 - 3·x + 9·x² - 7·x³)/(1 - 2·x - 3·x²)^7/2. A375260

Define an array by d(m, 0) = 1, d(m, 1) = m; d(m, k) = (m - k + 1) d(m+1, k-1) - (k-1) (m+1) d(m+2, k-2). Sequence gives d(n,4). A126958