4,083,125

5⁴ × 47 × 139

Starting at 4,083,125, the Collatz iteration reaches 1 after 105 steps. The first transition is 12249376; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 5^4 × 47 × 139

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 5,248,320

Proper Divisor Sum 1,165,195

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4083097 ← → #4083137

Radix Representation

Decimal	4083125
Binary	1111100100110110110101 (22 bits)
Octal	0o17446665
Hexadecimal	0x3E4DB5

Divisor Catalog (20)

1 5 25 47 125 139 235 625 695 1,175 3,475 5,875 6,533 17,375 29,375 32,665 86,875 163,325 816,625 4,083,125

Collatz Trajectory (105 steps to reach 1)

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

4,083,125 12,249,376 6,124,688 3,062,344 1,531,172 765,586 382,793 1,148,380 574,190 287,095 861,286 430,643 1,291,930 645,965 1,937,896 968,948 484,474 242,237 726,712 363,356 181,678 90,839 272,518 136,259 408,778 204,389 613,168 306,584 153,292 76,646 38,323 114,970 57,485 172,456 86,228 43,114 21,557 64,672 32,336 16,168 8,084 4,042 2,021 6,064 3,032 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722

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