2⁴ × 3 × 5 × 17 × 41

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 17 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 562,464

Proper Divisor Sum 395,184

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #167269 ← → #167309

Radix Representation

Decimal	167280
Binary	101000110101110000 (18 bits)
Octal	0o506560
Hexadecimal	0x28D70

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 41 48 51 60 68 80 82 85 102 120 123 136 164 170 204 205 240 246 255 272 328 340 408 410 492 510 615 656 680 697 816 820 984 1,020 1,230 1,360 1,394 1,640 1,968 2,040 2,091 2,460 2,788

Collatz Trajectory (59 steps to reach 1)

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

167,280 83,640 41,820 20,910 10,455 31,366 15,683 47,050 23,525 70,576 35,288 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 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 #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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