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Ratio Atlas
Atlas › Integer Profiles › Node 7,920
7,920
24 × 32 × 5 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 11
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 29,016
Proper Divisor Sum 21,096
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #7919 ← → #7927

Radix Representation

Decimal 7920
Binary 1111011110000 (13 bits)
Octal 0o17360
Hexadecimal 0x1EF0

Divisor Catalog (60)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1,320 1,584 1,980 2,640 3,960 7,920

Collatz Trajectory (101 steps to reach 1)

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

7,920 3,960 1,980 990 495 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822

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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