2² × 3 × 5⁴ × 17 × 29

Prime Factor Structure

Factorization String 2^2 × 3 × 5^4 × 17 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 11,808,720

Proper Divisor Sum 8,111,220

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3697487 ← → #3697511

Radix Representation

Decimal	3697500
Binary	1110000110101101011100 (22 bits)
Octal	0o16065534
Hexadecimal	0x386B5C

Divisor Catalog (60 of 120)

1 2 3 4 5 6 10 12 15 17 20 25 29 30 34 50 51 58 60 68 75 85 87 100 102 116 125 145 150 170 174 204 250 255 290 300 340 348 375 425 435 493 500 510 580 625 725 750 850 870 986 1,020 1,250 1,275 1,450 1,479 1,500 1,700 1,740 1,875

Collatz Trajectory (159 steps to reach 1)

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

3,697,500 1,848,750 924,375 2,773,126 1,386,563 4,159,690 2,079,845 6,239,536 3,119,768 1,559,884 779,942 389,971 1,169,914 584,957 1,754,872 877,436 438,718 219,359 658,078 329,039 987,118 493,559 1,480,678 740,339 2,221,018 1,110,509 3,331,528 1,665,764 832,882 416,441 1,249,324 624,662 312,331 936,994 468,497 1,405,492 702,746 351,373 1,054,120 527,060 263,530 131,765 395,296 197,648 98,824 49,412 24,706 12,353 37,060 18,530 9,265 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910

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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