Properties of the Number 47957

Forty-Seven Thousand Nine Hundred Fifty-Seven

Basics

Value: 47956 → 47957 → 47958

Parity: odd

Prime: No

Previous Prime: 47951

Next Prime: 47963

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 7 × 13 × 17 × 31

Divisors: 1, 7, 13, 17, 31, 91, 119, 217, 221, 403

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101101010101

Octal: 135525

Duodecimal: 23905

Hexadecimal: bb55

Square: 2299873849

Square Root: 218.99086738948728

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) = A061037(7·n+2). A165943

a(n) = A351477(n) * FC where F is the Fermat point of a primitive integer-sided triangle ABC with A < B < C < 2*π/3 and FA + FB + FC = A336329(n). A351803

a(n) = (6·n+1)*(6·n+5). A1513

Number of intersections of diagonals in the exterior of a regular n-gon. A211382

Numerators of the sequence whose Dirichlet convolution with itself yields A057660(n) = ∑_k=1..n n/gcd(n,k). A318444

Terms of A349937 that are not divisible by 3: numbers k > 1 not divisible by 2 or 3 such that A309906(k-1) < A309906(k) > A309906(k+1). A349941

Number of finite positive integer sequences b(1),...,b(k), with k <= n and b(1)*b(2)*...*b(k) <= n. A64453

a(n) = A077706(n+1)/A077706(n). A77707

Odd squarefree numbers n such that the cyclotomic polynomial φ(n,x) is not coefficient convex. A146960

Number of unrooted loops of length 2n on the square lattice that have winding number +1 around a fixed off-lattice point. A292341