Properties of the Number 47107

Forty-Seven Thousand One Hundred Seven

Basics

Value: 47106 → 47107 → 47108

Parity: odd

Prime: No

Previous Prime: 47093

Next Prime: 47111

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 17 ² × 163

Divisors: 1, 17, 163, 289, 2771, 47107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100000000011

Octal: 134003

Duodecimal: 23317

Hexadecimal: b803

Square: 2219069449

Square Root: 217.04147069166297

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. A(x) satisfies A(x) = 1 + x·A(x)⁵ / (1 - x·A(x)²). A365192

Square array A(n,k) read by descending antidiagonals where A(n,k) is the k-th solution·to A328248(x) = n-1. A328250

a(n) = ∑_{k=0..floor(2·n/5)} binomial(k,2·n-5·k). A391265

Number of compositions of 6·n-4 into parts 5 and 6. A373964

Least number k such that k! in binary representation contains a run of exactly n consecutive nontrivial zeros. A94010

a(n) = ∑_{k=0..floor(3·n/5)} binomial(k+1,3·n-5·k). A391843

Greatest number, not divisible by 4, having exactly n partitions into three distinct positive squares. A96021

Row sums of triangle A130478. A130494

Odd k for which abs(2^m - k) is nonprime for all m < k. A263865

T(n,n+2), array T as in A047100. A47107