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Ratio Atlas
Atlas › Integer Profiles › Node 267,696
267,696
24 × 32 × 11 × 132
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11 × 13^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 884,988
Proper Divisor Sum 617,292
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #267679 ← → #267713

Radix Representation

Decimal 267696
Binary 1000001010110110000 (19 bits)
Octal 0o1012660
Hexadecimal 0x415B0

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 169 176 198 208 234 264 286 312 338 396 429 468 507 528 572 624 676 792 858 936 1,014 1,144 1,287 1,352 1,521 1,584 1,716 1,859

Collatz Trajectory (70 steps to reach 1)

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

267,696 133,848 66,924 33,462 16,731 50,194 25,097 75,292 37,646 18,823 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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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