Properties of the Number 47331

Forty-Seven Thousand Three Hundred Thirty-One

Basics

Value: 47330 → 47331 → 47332

Parity: odd

Prime: No

Previous Prime: 47317

Next Prime: 47339

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 1753

Divisors: 1, 3, 9, 27, 1753, 5259, 15777, 47331

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011100011100011

Octal: 134343

Duodecimal: 23483

Hexadecimal: b8e3

Square: 2240223561

Square Root: 217.55688911179072

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 complete quadrangles on an n X n grid (or geoplane). A175383

Square array read by antidiagonals downwards: T(n,k) = number of ways to arrange k indistinguishable points on an n X n square grid so that no three points are collinear at any angle. A194193

Expansion of ∑_k>=1 (-1 + ∏_j>=1 1/(1 - x^k·j)^j). A302549

Odd numbers k such that the palindromic wing number (a.k.a. near-repdigit palindrome) 7*(10^k - 1)/9 - 2·10^(k-1/2) is prime. A77785

Triangle read by rows: T(n,k) = A(k,n-k), 1 <= k < n, 2 <= n, where A(m,n) is the number of distinct strings consisting of one X, 2·m Y's and 2·n Z's in which the X lies to the right of at least m Y's and at least n Z's. A351584

Odd numbers k such that A173557(k) = A173557(σ(k)), where A173557(n) is multiplicative with a(p^e) = p-1 and σ is the sum of divisors function. A387159

Numbers k such that (47·10^k + 133)/9 is prime. A285379

Numbers that are congruent to {2, 3, 5, 6} mod 7. A47331