388,100

2² × 5² × 3881

388,100 factors as 2^2 × 5^2 × 3881. Its 18 positive divisors give a proper-divisor sum of 454,294, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 3881

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 842,394

Proper Divisor Sum 454,294

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #388099 ← → #388109

Radix Representation

Decimal	388100
Binary	1011110110000000100 (19 bits)
Octal	0o1366004
Hexadecimal	0x5EC04

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 3,881 7,762 15,524 19,405 38,810 77,620 97,025 194,050 388,100

Collatz Trajectory (192 steps to reach 1)

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

388,100 194,050 97,025 291,076 145,538 72,769 218,308 109,154 54,577 163,732 81,866 40,933 122,800 61,400 30,700 15,350 7,675 23,026 11,513 34,540 17,270 8,635 25,906 12,953 38,860 19,430 9,715 29,146 14,573 43,720 21,860 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470

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