2 × 3² × 5 × 7 × 11 × 13 × 41

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 11 × 13 × 41

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 13,208,832

Proper Divisor Sum 9,515,142

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3693689 ← → #3693691

Radix Representation

Decimal	3693690
Binary	1110000101110001111010 (22 bits)
Octal	0o16056172
Hexadecimal	0x385C7A

Divisor Catalog (60 of 192)

1 2 3 5 6 7 9 10 11 13 14 15 18 21 22 26 30 33 35 39 41 42 45 55 63 65 66 70 77 78 82 90 91 99 105 110 117 123 126 130 143 154 165 182 195 198 205 210 231 234 246 273 286 287 315 330 369 385 390 410

Collatz Trajectory (203 steps to reach 1)

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

3,693,690 1,846,845 5,540,536 2,770,268 1,385,134 692,567 2,077,702 1,038,851 3,116,554 1,558,277 4,674,832 2,337,416 1,168,708 584,354 292,177 876,532 438,266 219,133 657,400 328,700 164,350 82,175 246,526 123,263 369,790 184,895 554,686 277,343 832,030 416,015 1,248,046 624,023 1,872,070 936,035 2,808,106 1,404,053 4,212,160 2,106,080 1,053,040 526,520 263,260 131,630 65,815 197,446 98,723 296,170 148,085 444,256 222,128 111,064 55,532 27,766 13,883 41,650 20,825 62,476 31,238 15,619 46,858 23,429

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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