2⁵ × 3 × 5 × 17

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 27,216

Proper Divisor Sum 19,056

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #8147 ← → #8161

Radix Representation

Decimal	8160
Binary	1111111100000 (13 bits)
Octal	0o17740
Hexadecimal	0x1FE0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1,020 1,360 1,632 2,040 2,720 4,080 8,160

Collatz Trajectory (52 steps to reach 1)

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

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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