2⁵ × 3⁴ × 5 × 17

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 823,284

Proper Divisor Sum 602,964

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #220307 ← → #220327

Radix Representation

Decimal	220320
Binary	110101110010100000 (18 bits)
Octal	0o656240
Hexadecimal	0x35CA0

Divisor Catalog (60 of 120)

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 68 72 80 81 85 90 96 102 108 120 135 136 144 153 160 162 170 180 204 216 240 255 270 272 288 306 324 340 360 405 408 432 459

Collatz Trajectory (62 steps to reach 1)

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

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 8

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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