3,288,039

3 × 1033 × 1061

Starting at 3,288,039, the Collatz iteration reaches 1 after 208 steps. The first transition is 9864118; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 1033 × 1061

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,392,432

Proper Divisor Sum 1,104,393

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3288037 ← → #3288053

Radix Representation

Decimal	3288039
Binary	1100100010101111100111 (22 bits)
Octal	0o14425747
Hexadecimal	0x322BE7

Divisor Catalog (8)

1 3 1,033 1,061 3,099 3,183 1,096,013 3,288,039

Collatz Trajectory (208 steps to reach 1)

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

3,288,039 9,864,118 4,932,059 14,796,178 7,398,089 22,194,268 11,097,134 5,548,567 16,645,702 8,322,851 24,968,554 12,484,277 37,452,832 18,726,416 9,363,208 4,681,604 2,340,802 1,170,401 3,511,204 1,755,602 877,801 2,633,404 1,316,702 658,351 1,975,054 987,527 2,962,582 1,481,291 4,443,874 2,221,937 6,665,812 3,332,906 1,666,453 4,999,360 2,499,680 1,249,840 624,920 312,460 156,230 78,115 234,346 117,173 351,520 175,760 87,880 43,940 21,970 10,985 32,956 16,478 8,239 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857

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