Properties of the Number 99808

Ninety-Nine Thousand Eight Hundred Eight

Basics

Value: 99807 → 99808 → 99809

Parity: even

Prime: No

Previous Prime: 99793

Next Prime: 99809

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 3119

Divisors: 1, 2, 4, 8, 16, 32, 3119, 6238, 12476, 24952

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000010111100000

Octal: 302740

Duodecimal: 49914

Hexadecimal: 185e0

Square: 9961636864

Square Root: 315.9240415036501

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7. A251876

The second Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.2). A292345

Triangle read by rows: T(n, k) = n! * 3^k * hypergeom([-k], [-n], -2/3). A375597

Expansion of (theta₃(z)*theta₃(11z) + theta₂(z)*theta₂(11z))⁴. A28612

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7. A251870

Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7. A251875

a(n) = ∑_{k=0..floor(n/3)} (-1)^k * binomial(4·n-3·k-1,n-3·k). A371817

If a,b are primes which satisfy the Diophantine equation a³ + b³ = c², then this sequence consists of the numbers sqrt((a+b)/48), sorted by the magnitude of c. A99808

PrimePi(greatest prime < sqrt(Q)) - PrimePi(greatest prime factor(Q) < sqrt(Q)), with Q = A082686(n). A375205