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Ratio Atlas
Atlas › Integer Profiles › Node 91,080
91,080
23 × 32 × 5 × 11 × 23
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 336,960
Proper Divisor Sum 245,880
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #91079 ← → #91081

Radix Representation

Decimal 91080
Binary 10110001111001000 (17 bits)
Octal 0o261710
Hexadecimal 0x163C8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 23 24 30 33 36 40 44 45 46 55 60 66 69 72 88 90 92 99 110 115 120 132 138 165 180 184 198 207 220 230 253 264 276 330 345 360 396 414 440 460 495 506 552 660 690

Collatz Trajectory (133 steps to reach 1)

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

91,080 45,540 22,770 11,385 34,156 17,078 8,539 25,618 12,809 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426 16,213 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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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