3,328,802

2 × 43 × 38707

Starting at 3,328,802, the Collatz iteration reaches 1 after 177 steps. The first transition is 1664401; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 43 × 38707

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,109,456

Proper Divisor Sum 1,780,654

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3328799 ← → #3328807

Radix Representation

Decimal	3328802
Binary	1100101100101100100010 (22 bits)
Octal	0o14545442
Hexadecimal	0x32CB22

Divisor Catalog (8)

1 2 43 86 38,707 77,414 1,664,401 3,328,802

Collatz Trajectory (177 steps to reach 1)

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

3,328,802 1,664,401 4,993,204 2,496,602 1,248,301 3,744,904 1,872,452 936,226 468,113 1,404,340 702,170 351,085 1,053,256 526,628 263,314 131,657 394,972 197,486 98,743 296,230 148,115 444,346 222,173 666,520 333,260 166,630 83,315 249,946 124,973 374,920 187,460 93,730 46,865 140,596 70,298 35,149 105,448 52,724 26,362 13,181 39,544 19,772 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520

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