λ
Ratio Atlas
Atlas › Integer Profiles › Node 322,320
322,320
24 × 3 × 5 × 17 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 17 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,071,360
Proper Divisor Sum 749,040
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #322319 ← → #322327

Radix Representation

Decimal 322320
Binary 1001110101100010000 (19 bits)
Octal 0o1165420
Hexadecimal 0x4EB10

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 79 80 85 102 120 136 158 170 204 237 240 255 272 316 340 395 408 474 510 632 680 790 816 948 1,020 1,185 1,264 1,343 1,360 1,580 1,896 2,040 2,370 2,686 3,160 3,792 4,029 4,080 4,740

Collatz Trajectory (140 steps to reach 1)

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

322,320 161,160 80,580 40,290 20,145 60,436 30,218 15,109 45,328 22,664 11,332 5,666 2,833 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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