Properties of the Number 99168

Ninety-Nine Thousand One Hundred Sixty-Eight

Basics

Value: 99167 → 99168 → 99169

Parity: even

Prime: No

Previous Prime: 99149

Next Prime: 99173

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 1033

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000001101100000

Octal: 301540

Duodecimal: 49480

Hexadecimal: 18360

Square: 9834292224

Square Root: 314.9095108122332

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

G.f.: ∏_n>=1 (1 + Lucas(n)*xⁿ + (-1)ⁿ*x^2·n) where Lucas(n) = A000204(n). A203801

Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00001011 00010101 or 01010101. A261377

Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000111. A260063

exp((arctan(x))²)=1+2/2!*x²-4/4!*x⁴+8/6!*x⁶+912/8!*x⁸... A12456

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00001011 00010101 or 01010101. A261380

G.f. A(x) satisfies: A( A(x)² - 2·A(x)³ ) = x·A(x). A272820

a(n) = 3ⁿ * 5^binomial(n,2). A99168