2⁶ × 3⁴ × 5 × 17

Prime Factor Structure

Factorization String 2^6 × 3^4 × 5 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 140

Divisor Sum (σ) 1,659,636

Proper Divisor Sum 1,218,996

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #440581 ← → #440641

Radix Representation

Decimal	440640
Binary	1101011100101000000 (19 bits)
Octal	0o1534500
Hexadecimal	0x6B940

Divisor Catalog (60 of 140)

1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 81 85 90 96 102 108 120 135 136 144 153 160 162 170 180 192 204 216 240 255 270 272 288 306 320 324 340 360 405

Collatz Trajectory (63 steps to reach 1)

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

440,640 220,320 110,160 55,080 27,540 13,770 6,885 20,656 10,328 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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