18,263,216

2⁴ × 31 × 36821

18,263,216 factors as 2^4 × 31 × 36821. Its 20 positive divisors give a proper-divisor sum of 18,264,208, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 36821

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 36,527,424

Proper Divisor Sum 18,264,208

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #18263209 ← → #18263233

Radix Representation

Decimal	18263216
Binary	1000101101010110010110000 (25 bits)
Octal	0o105526260
Hexadecimal	0x116ACB0

Divisor Catalog (20)

Collatz Trajectory (63 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

18,263,216 9,131,608 4,565,804 2,282,902 1,141,451 3,424,354 1,712,177 5,136,532 2,568,266 1,284,133 3,852,400 1,926,200 963,100 481,550 240,775 722,326 361,163 1,083,490 541,745 1,625,236 812,618 406,309 1,218,928 609,464 304,732 152,366 76,183 228,550 114,275 342,826 171,413 514,240 257,120 128,560 64,280 32,140 16,070 8,035 24,106 12,053 36,160 18,080 9,040 4,520 2,260 1,130 565 1,696 848 424 212 106 53 160 80 40 20 10 5 16

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