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Ratio Atlas
Atlas › Integer Profiles › Node 309,672
309,672
23 × 32 × 11 × 17 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 17 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,010,880
Proper Divisor Sum 701,208
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #309671 ← → #309677

Radix Representation

Decimal 309672
Binary 1001011100110101000 (19 bits)
Octal 0o1134650
Hexadecimal 0x4B9A8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 11 12 17 18 22 23 24 33 34 36 44 46 51 66 68 69 72 88 92 99 102 132 136 138 153 184 187 198 204 207 253 264 276 306 374 391 396 408 414 506 552 561 612 748 759 782 792 828 1,012 1,122 1,173 1,224 1,496

Collatz Trajectory (65 steps to reach 1)

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

309,672 154,836 77,418 38,709 116,128 58,064 29,032 14,516 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 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

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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