Properties of the Number 47110

Forty-Seven Thousand One Hundred Ten

Basics

Value: 47109 → 47110 → 47111

Parity: even

Prime: No

Previous Prime: 47093

Next Prime: 47111

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 7 × 673

Divisors: 1, 2, 5, 7, 10, 14, 35, 70, 673, 1346

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011100000000110

Octal: 134006

Duodecimal: 2331A

Hexadecimal: b806

Square: 2219352100

Square Root: 217.04838170325067

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 of ordered set partitions of [n] with at most four elements per block. A276924

Triangle read by rows: coefficients in expansion of Asveld's polynomials p_j(x). A341725

n-th derivative of x^{(x^x}^x) at x=1. A215705

Seventh 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. A215837

Permutation of N induced by rotating the node 5 right in the infinite planar binary tree shown at A065658. A65668

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

Array read by diagonals: T(h,k)=number of paths consisting of steps from (0,0) to (h,k) such that each step has length 1 directed up or right and no up-step crosses the line y=2x/3. (Thus a path crosses the line only at lattice points and on right-steps.). A47110

Number A(n,k) of ordered set partitions of [n] with at most k elements per block; square array A(n,k), n>=0, k>=0, read by antidiagonals. A276921

Number of distinct values taken by 7th derivative of x^x^...^x (with n x's and parentheses inserted in all possible ways) at x=1. A215796