3,731,125

5³ × 19 × 1571

Starting at 3,731,125, the Collatz iteration reaches 1 after 128 steps. The first transition is 11193376; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 19 × 1571

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,904,640

Proper Divisor Sum 1,173,515

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3731107 ← → #3731137

Radix Representation

Decimal	3731125
Binary	1110001110111010110101 (22 bits)
Octal	0o16167265
Hexadecimal	0x38EEB5

Divisor Catalog (16)

1 5 19 25 95 125 475 1,571 2,375 7,855 29,849 39,275 149,245 196,375 746,225 3,731,125

Collatz Trajectory (128 steps to reach 1)

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

3,731,125 11,193,376 5,596,688 2,798,344 1,399,172 699,586 349,793 1,049,380 524,690 262,345 787,036 393,518 196,759 590,278 295,139 885,418 442,709 1,328,128 664,064 332,032 166,016 83,008 41,504 20,752 10,376 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

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