3,794,584

2³ × 331 × 1433

Starting at 3,794,584, the Collatz iteration reaches 1 after 128 steps. The first transition is 1897292; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 331 × 1433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,141,320

Proper Divisor Sum 3,346,736

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3794537 ← → #3794599

Radix Representation

Decimal	3794584
Binary	1110011110011010011000 (22 bits)
Octal	0o16363230
Hexadecimal	0x39E698

Divisor Catalog (16)

1 2 4 8 331 662 1,324 1,433 2,648 2,866 5,732 11,464 474,323 948,646 1,897,292 3,794,584

Collatz Trajectory (128 steps to reach 1)

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

3,794,584 1,897,292 948,646 474,323 1,422,970 711,485 2,134,456 1,067,228 533,614 266,807 800,422 400,211 1,200,634 600,317 1,800,952 900,476 450,238 225,119 675,358 337,679 1,013,038 506,519 1,519,558 759,779 2,279,338 1,139,669 3,419,008 1,709,504 854,752 427,376 213,688 106,844 53,422 26,711 80,134 40,067 120,202 60,101 180,304 90,152 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670

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