3,691,468

2² × 11² × 29 × 263

Starting at 3,691,468, the Collatz iteration reaches 1 after 164 steps. The first transition is 1845734; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 29 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 7,373,520

Proper Divisor Sum 3,682,052

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3691459 ← → #3691469

Radix Representation

Decimal	3691468
Binary	1110000101001111001100 (22 bits)
Octal	0o16051714
Hexadecimal	0x3853CC

Divisor Catalog (36)

1 2 4 11 22 29 44 58 116 121 242 263 319 484 526 638 1,052 1,276 2,893 3,509 5,786 7,018 7,627 11,572 14,036 15,254 30,508 31,823 63,646 83,897 127,292 167,794 335,588 922,867 1,845,734 3,691,468

Collatz Trajectory (164 steps to reach 1)

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

3,691,468 1,845,734 922,867 2,768,602 1,384,301 4,152,904 2,076,452 1,038,226 519,113 1,557,340 778,670 389,335 1,168,006 584,003 1,752,010 876,005 2,628,016 1,314,008 657,004 328,502 164,251 492,754 246,377 739,132 369,566 184,783 554,350 277,175 831,526 415,763 1,247,290 623,645 1,870,936 935,468 467,734 233,867 701,602 350,801 1,052,404 526,202 263,101 789,304 394,652 197,326 98,663 295,990 147,995 443,986 221,993 665,980 332,990 166,495 499,486 249,743 749,230 374,615 1,123,846 561,923 1,685,770 842,885

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