2⁷ × 3 × 5 × 17

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 110,160

Proper Divisor Sum 77,520

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #32633 ← → #32647

Radix Representation

Decimal	32640
Binary	111111110000000 (15 bits)
Octal	0o77600
Hexadecimal	0x7F80

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1,020 1,088 1,360 1,632 1,920 2,040 2,176 2,720 3,264 4,080 5,440 6,528

Collatz Trajectory (54 steps to reach 1)

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

32,640 16,320 8,160 4,080 2,040 1,020 510 255 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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