3,884,346

2 × 3² × 215797

Starting at 3,884,346, the Collatz iteration reaches 1 after 291 steps. The first transition is 1942173; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 215797

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,416,122

Proper Divisor Sum 4,531,776

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3884333 ← → #3884389

Radix Representation

Decimal	3884346
Binary	1110110100010100111010 (22 bits)
Octal	0o16642472
Hexadecimal	0x3B453A

Divisor Catalog (12)

1 2 3 6 9 18 215,797 431,594 647,391 1,294,782 1,942,173 3,884,346

Collatz Trajectory (291 steps to reach 1)

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

3,884,346 1,942,173 5,826,520 2,913,260 1,456,630 728,315 2,184,946 1,092,473 3,277,420 1,638,710 819,355 2,458,066 1,229,033 3,687,100 1,843,550 921,775 2,765,326 1,382,663 4,147,990 2,073,995 6,221,986 3,110,993 9,332,980 4,666,490 2,333,245 6,999,736 3,499,868 1,749,934 874,967 2,624,902 1,312,451 3,937,354 1,968,677 5,906,032 2,953,016 1,476,508 738,254 369,127 1,107,382 553,691 1,661,074 830,537 2,491,612 1,245,806 622,903 1,868,710 934,355 2,803,066 1,401,533 4,204,600 2,102,300 1,051,150 525,575 1,576,726 788,363 2,365,090 1,182,545 3,547,636 1,773,818 886,909

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