3,398,643

3² × 89 × 4243

Starting at 3,398,643, the Collatz iteration reaches 1 after 208 steps. The first transition is 10195930; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 89 × 4243

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,965,480

Proper Divisor Sum 1,566,837

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3398639 ← → #3398651

Radix Representation

Decimal	3398643
Binary	1100111101101111110011 (22 bits)
Octal	0o14755763
Hexadecimal	0x33DBF3

Divisor Catalog (12)

1 3 9 89 267 801 4,243 12,729 38,187 377,627 1,132,881 3,398,643

Collatz Trajectory (208 steps to reach 1)

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

3,398,643 10,195,930 5,097,965 15,293,896 7,646,948 3,823,474 1,911,737 5,735,212 2,867,606 1,433,803 4,301,410 2,150,705 6,452,116 3,226,058 1,613,029 4,839,088 2,419,544 1,209,772 604,886 302,443 907,330 453,665 1,360,996 680,498 340,249 1,020,748 510,374 255,187 765,562 382,781 1,148,344 574,172 287,086 143,543 430,630 215,315 645,946 322,973 968,920 484,460 242,230 121,115 363,346 181,673 545,020 272,510 136,255 408,766 204,383 613,150 306,575 919,726 459,863 1,379,590 689,795 2,069,386 1,034,693 3,104,080 1,552,040 776,020

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