2³ × 3² × 5 × 11 × 113

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 11 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,600,560

Proper Divisor Sum 1,153,080

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #447467 ← → #447481

Radix Representation

Decimal	447480
Binary	1101101001111111000 (19 bits)
Octal	0o1551770
Hexadecimal	0x6D3F8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 113 120 132 165 180 198 220 226 264 330 339 360 396 440 452 495 565 660 678 792 904 990 1,017 1,130 1,243 1,320 1,356 1,695 1,980 2,034

Collatz Trajectory (99 steps to reach 1)

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

447,480 223,740 111,870 55,935 167,806 83,903 251,710 125,855 377,566 188,783 566,350 283,175 849,526 424,763 1,274,290 637,145 1,911,436 955,718 477,859 1,433,578 716,789 2,150,368 1,075,184 537,592 268,796 134,398 67,199 201,598 100,799 302,398 151,199 453,598 226,799 680,398 340,199 1,020,598 510,299 1,530,898 765,449 2,296,348 1,148,174 574,087 1,722,262 861,131 2,583,394 1,291,697 3,875,092 1,937,546 968,773 2,906,320 1,453,160 726,580 363,290 181,645 544,936 272,468 136,234 68,117 204,352 102,176

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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