3,838,732

2² × 107 × 8969

Starting at 3,838,732, the Collatz iteration reaches 1 after 79 steps. The first transition is 1919366; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 107 × 8969

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,781,320

Proper Divisor Sum 2,942,588

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3838729 ← → #3838771

Radix Representation

Decimal	3838732
Binary	1110101001001100001100 (22 bits)
Octal	0o16511414
Hexadecimal	0x3A930C

Divisor Catalog (12)

1 2 4 107 214 428 8,969 17,938 35,876 959,683 1,919,366 3,838,732

Collatz Trajectory (79 steps to reach 1)

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

3,838,732 1,919,366 959,683 2,879,050 1,439,525 4,318,576 2,159,288 1,079,644 539,822 269,911 809,734 404,867 1,214,602 607,301 1,821,904 910,952 455,476 227,738 113,869 341,608 170,804 85,402 42,701 128,104 64,052 32,026 16,013 48,040 24,020 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19

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