38,900

2² × 5² × 389

38,900 factors as 2^2 × 5^2 × 389. Its 18 positive divisors give a proper-divisor sum of 45,730, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 389

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 84,630

Proper Divisor Sum 45,730

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #38891 ← → #38903

Radix Representation

Decimal	38900
Binary	1001011111110100 (16 bits)
Octal	0o113764
Hexadecimal	0x97F4

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 389 778 1,556 1,945 3,890 7,780 9,725 19,450 38,900

Collatz Trajectory (168 steps to reach 1)

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

38,900 19,450 9,725 29,176 14,588 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248

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