Properties of the Number 47999

Forty-Seven Thousand Nine Hundred Ninety-Nine

Basics

Value: 47998 → 47999 → 48000

Parity: odd

Prime: No

Previous Prime: 47981

Next Prime: 48017

Digit Sum: 38

Digital Root: 2

Palindrome: No

Factorization: 7 × 6857

Divisors: 1, 7, 6857, 47999

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101101111111

Octal: 135577

Duodecimal: 2393B

Hexadecimal: bb7f

Square: 2303904001

Square Root: 219.08674081285704

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) = 30·n² - 1. A158560

Number of unordered factorizations of n! into two distinct proper factors. A157672

Number of length n arrays of permutations of 0..n-1 with each element moved by -4 to 4 places and the total absolute value of displacements not greater than 2*(n-1). A263901

Partial sums of A072857. A173052

Sierpiński's [Sierpinski's] triangle (or gasket): triangle, read by rows, formed by reading Pascal's triangle (A007318) mod 2. A47999

T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and the total absolute value of displacements not greater than 2*(n-1). A263905

E.g.f. A(x) = 3 + Integral B(x)*C(x) dx such that C(x)² - A(x)² = 16 and B(x)² - A(x)² = 7. A323563

E.g.f. B(x) = 4 + Integral A(x)*C(x) dx such that C(x)² - B(x)² = 9 and B(x)² - A(x)² = 7. A323564

E.g.f. C(x) = 5 + Integral A(x)*B(x) dx such that C(x)² - A(x)² = 16 and C(x)² - B(x)² = 9. A323565

E.g.f. A(x)*B(x)*C(x) = A(x)*A'(x) = B(x)*B'(x) = C(x)*C'(x) such that A(x)² - 3² = B(x)² - 4² = C(x)² - 5². A323566