2² × 3³ × 5 × 11 × 67

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 11 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,370,880

Proper Divisor Sum 972,900

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #397973 ← → #397981

Radix Representation

Decimal	397980
Binary	1100001001010011100 (19 bits)
Octal	0o1411234
Hexadecimal	0x6129C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 67 90 99 108 110 132 134 135 165 180 198 201 220 268 270 297 330 335 396 402 495 540 594 603 660 670 737 804 990 1,005 1,188 1,206 1,340 1,474 1,485 1,809

Collatz Trajectory (205 steps to reach 1)

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

397,980 198,990 99,495 298,486 149,243 447,730 223,865 671,596 335,798 167,899 503,698 251,849 755,548 377,774 188,887 566,662 283,331 849,994 424,997 1,274,992 637,496 318,748 159,374 79,687 239,062 119,531 358,594 179,297 537,892 268,946 134,473 403,420 201,710 100,855 302,566 151,283 453,850 226,925 680,776 340,388 170,194 85,097 255,292 127,646 63,823 191,470 95,735 287,206 143,603 430,810 215,405 646,216 323,108 161,554 80,777 242,332 121,166 60,583 181,750 90,875

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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