Properties of the Number 48112

Forty-Eight Thousand One Hundred Twelve

Basics

Value: 48111 → 48112 → 48113

Parity: even

Prime: No

Previous Prime: 48109

Next Prime: 48119

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 31 × 97

Divisors: 1, 2, 4, 8, 16, 31, 62, 97, 124, 194

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101111110000

Octal: 135760

Duodecimal: 23A14

Hexadecimal: bbf0

Square: 2314764544

Square Root: 219.34447793368312

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

Numbers d·p where d is a perfect number and p<d a prime not dividing d. A165772

Expansion of ∏_k>=1 1 / (1 - 2·x^k)². A266943

Number of geometrically distinct open knight's tours of a 3 X n chessboard that have twofold symmetry. A169776

Number of nX5 0..1 arrays with every element equal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A298551

G.f.: A(x) satisfies: [xⁿ] A(x)^n²-2·n+2 = 0 for n>=2. A185072

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A298554

G.f. A(x) satisfies: [x^n-1] 1/A(x)^n² = 0 for n>2. A292877

a(1) = 1, a(2) = 1, a(3) = 1, a(n) = a(n-3) * (a(n-2) + a(n-1)). A48112

a(n) = (1/(n+1)) * ∑_k=0..n A185072(n-k)*A185072(k). A229128