3,897,625

5³ × 31181

Starting at 3,897,625, the Collatz iteration reaches 1 after 154 steps. The first transition is 11692876; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 31181

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,864,392

Proper Divisor Sum 966,767

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3897611 ← → #3897631

Radix Representation

Decimal	3897625
Binary	1110110111100100011001 (22 bits)
Octal	0o16674431
Hexadecimal	0x3B7919

Divisor Catalog (8)

1 5 25 125 31,181 155,905 779,525 3,897,625

Collatz Trajectory (154 steps to reach 1)

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

3,897,625 11,692,876 5,846,438 2,923,219 8,769,658 4,384,829 13,154,488 6,577,244 3,288,622 1,644,311 4,932,934 2,466,467 7,399,402 3,699,701 11,099,104 5,549,552 2,774,776 1,387,388 693,694 346,847 1,040,542 520,271 1,560,814 780,407 2,341,222 1,170,611 3,511,834 1,755,917 5,267,752 2,633,876 1,316,938 658,469 1,975,408 987,704 493,852 246,926 123,463 370,390 185,195 555,586 277,793 833,380 416,690 208,345 625,036 312,518 156,259 468,778 234,389 703,168 351,584 175,792 87,896 43,948 21,974 10,987 32,962 16,481 49,444 24,722

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