Properties of the Number 47169

Forty-Seven Thousand One Hundred Sixty-Nine

Basics

Value: 47168 → 47169 → 47170

Parity: odd

Prime: No

Previous Prime: 47161

Next Prime: 47189

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 1747

Divisors: 1, 3, 9, 27, 1747, 5241, 15723, 47169

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100001000001

Octal: 134101

Duodecimal: 23369

Hexadecimal: b841

Square: 2224914561

Square Root: 217.18425357285918

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) = ∑_i=1..n C(i+6,7)³. A86030

G.f. A(x) satisfies: A(x) = x * (1 + A(x))⁴ / (1 - 5·A(x)). A366017

A001003(p-1)/p where p runs through the odd primes. A75762

Number of nondecreasing arrangements of 6 nonzero numbers in -(n+4)..(n+4) with sum zero. A188336

a(n) is the end square spiral number for a knight starting on square n moving on a board with squares numbered with the square of their distance from the 0-square origin and where the knight moves to the smallest numbered unvisited square; the smallest spiral number ordering is used if the distances are equal. A326931

Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= n/2. A47169