Properties of the Number 60099

Sixty Thousand Ninety-Nine

Basics

Value: 60098 → 60099 → 60100

Parity: odd

Prime: No

Previous Prime: 60091

Next Prime: 60101

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 23 × 67

Divisors: 1, 3, 13, 23, 39, 67, 69, 201, 299, 871

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110101011000011

Octal: 165303

Duodecimal: 2A943

Hexadecimal: eac3

Square: 3611889801

Square Root: 245.1509738916001

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) = n*(2·n² + n + 1)/2. A85786

a(n) = pg(n, 3) + pg(n, 4) + ... + pg(n, n) where pg(n, m) is the m-th n-th-order polygonal number. A245679

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3), 3-principalization type (2143), IPAD [(3,9)⁴], and Hilbert 3-class field tower of unknown length at least 3. A247688

Expansion of (1+2x²)/(1-x-4x⁵). A98524

a(n) is the number of ways to write prime(n) as a sum of distinct composites. A381251

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 1, 0), (0, 0, 1), (1, 0, 0)}. A149855

1/2 the number of colorings of a 3 X 3 square array with n colors. A68239

G.f.: 1/((1-x²)³*(1-x)⁴). A60099

Record values in A179066. A179105