2³ × 5² × 7² × 13 × 29

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7^2 × 13 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 11,132,100

Proper Divisor Sum 7,437,500

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3694597 ← → #3694601

Radix Representation

Decimal	3694600
Binary	1110000110000000001000 (22 bits)
Octal	0o16060010
Hexadecimal	0x386008

Divisor Catalog (60 of 144)

1 2 4 5 7 8 10 13 14 20 25 26 28 29 35 40 49 50 52 56 58 65 70 91 98 100 104 116 130 140 145 175 182 196 200 203 232 245 260 280 290 325 350 364 377 392 406 455 490 520 580 637 650 700 725 728 754 812 910 980

Collatz Trajectory (79 steps to reach 1)

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

3,694,600 1,847,300 923,650 461,825 1,385,476 692,738 346,369 1,039,108 519,554 259,777 779,332 389,666 194,833 584,500 292,250 146,125 438,376 219,188 109,594 54,797 164,392 82,196 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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