3,781,192

2³ × 59 × 8011

Starting at 3,781,192, the Collatz iteration reaches 1 after 247 steps. The first transition is 1890596; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 59 × 8011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,210,800

Proper Divisor Sum 3,429,608

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3781189 ← → #3781213

Radix Representation

Decimal	3781192
Binary	1110011011001001001000 (22 bits)
Octal	0o16331110
Hexadecimal	0x39B248

Divisor Catalog (16)

1 2 4 8 59 118 236 472 8,011 16,022 32,044 64,088 472,649 945,298 1,890,596 3,781,192

Collatz Trajectory (247 steps to reach 1)

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

3,781,192 1,890,596 945,298 472,649 1,417,948 708,974 354,487 1,063,462 531,731 1,595,194 797,597 2,392,792 1,196,396 598,198 299,099 897,298 448,649 1,345,948 672,974 336,487 1,009,462 504,731 1,514,194 757,097 2,271,292 1,135,646 567,823 1,703,470 851,735 2,555,206 1,277,603 3,832,810 1,916,405 5,749,216 2,874,608 1,437,304 718,652 359,326 179,663 538,990 269,495 808,486 404,243 1,212,730 606,365 1,819,096 909,548 454,774 227,387 682,162 341,081 1,023,244 511,622 255,811 767,434 383,717 1,151,152 575,576 287,788 143,894

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