2² × 3 × 5² × 17 × 19 × 41

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 17 × 19 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 13,124,160

Proper Divisor Sum 9,151,260

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3972877 ← → #3972901

Radix Representation

Decimal	3972900
Binary	1111001001111100100100 (22 bits)
Octal	0o17117444
Hexadecimal	0x3C9F24

Divisor Catalog (60 of 144)

1 2 3 4 5 6 10 12 15 17 19 20 25 30 34 38 41 50 51 57 60 68 75 76 82 85 95 100 102 114 123 150 164 170 190 204 205 228 246 255 285 300 323 340 380 410 425 475 492 510 570 615 646 697 779 820 850 950 969 1,020

Collatz Trajectory (128 steps to reach 1)

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

3,972,900 1,986,450 993,225 2,979,676 1,489,838 744,919 2,234,758 1,117,379 3,352,138 1,676,069 5,028,208 2,514,104 1,257,052 628,526 314,263 942,790 471,395 1,414,186 707,093 2,121,280 1,060,640 530,320 265,160 132,580 66,290 33,145 99,436 49,718 24,859 74,578 37,289 111,868 55,934 27,967 83,902 41,951 125,854 62,927 188,782 94,391 283,174 141,587 424,762 212,381 637,144 318,572 159,286 79,643 238,930 119,465 358,396 179,198 89,599 268,798 134,399 403,198 201,599 604,798 302,399 907,198

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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