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Ratio Atlas
Atlas › Integer Profiles › Node 9,971,920
9,971,920
24 × 5 × 7 × 17807
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 17807
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 26,498,304
Proper Divisor Sum 16,526,384
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9971917 ← → #9971921

Radix Representation

Decimal 9971920
Binary 100110000010100011010000 (24 bits)
Octal 0o46024320
Hexadecimal 0x9828D0

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 17,807 35,614 71,228 89,035 124,649 142,456 178,070 249,298 284,912 356,140 498,596 623,245 712,280 997,192 1,246,490 1,424,560 1,994,384 2,492,980 4,985,960 9,971,920

Collatz Trajectory (176 steps to reach 1)

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

9,971,920 4,985,960 2,492,980 1,246,490 623,245 1,869,736 934,868 467,434 233,717 701,152 350,576 175,288 87,644 43,822 21,911 65,734 32,867 98,602 49,301 147,904 73,952 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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