2⁴ × 3³ × 5 × 17

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 133,920

Proper Divisor Sum 97,200

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #36713 ← → #36721

Radix Representation

Decimal	36720
Binary	1000111101110000 (16 bits)
Octal	0o107560
Hexadecimal	0x8F70

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918

Collatz Trajectory (62 steps to reach 1)

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

36,720 18,360 9,180 4,590 2,295 6,886 3,443 10,330 5,165 15,496 7,748 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 8

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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