Properties of the Number 47234

Forty-Seven Thousand Two Hundred Thirty-Four

Basics

Value: 47233 → 47234 → 47235

Parity: even

Prime: No

Previous Prime: 47221

Next Prime: 47237

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 11 × 19 × 113

Divisors: 1, 2, 11, 19, 22, 38, 113, 209, 226, 418

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100010000010

Octal: 134202

Duodecimal: 23402

Hexadecimal: b882

Square: 2231050756

Square Root: 217.33384458017576

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

Expansion of ∏_k>=1 (1 - x^k)²². A10828

Number of (n+1) X 3 0..2 arrays with every 2 X 2 subblock having nonzero determinant and commuting with every horizontal or vertical neighbor. A207143

Number of (n+1) X 5 0..2 arrays with every 2 X 2 subblock having nonzero determinant and commuting with every horizontal or vertical neighbor. A207145

Number of (n+1) X 7 0..2 arrays with every 2 X 2 subblock having nonzero determinant and commuting with every horizontal or vertical neighbor. A207147

a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...). A25099

Numbers that are congruent to {0, 1, 4} mod 6. A47234

Rectangular table of coefficients T(k,n) in row functions R(k,x) = ∑_n>=0 T(k,n)*xⁿ that satisfy the condition: ∑_n>=0 xⁿ/(1 - x·R(k,x)^n+k) = ∑_n>=0 xⁿ*R(k,x)ⁿ/(1 - x·R(k,x)^k·n+k-1), for k >= 0, read here by antidiagonals. A340940

G.f. A(x) satisfies: ∑_n>=0 xⁿ*A(x)^4·n/(1 - x·A(x)ⁿ) = ∑_n>=0 xⁿ*A(x)ⁿ/(1 - x·A(x)^4·n+3). A340943

Number of nX4 0..3 arrays with no element equal to one or three horizontal or vertical neighbors, with new values 0..3 introduced in row major order. A240639