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Ratio Atlas
Atlas › Integer Profiles › Node 9,997,724
9,997,724
22 × 11 × 19 × 11959
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 11959
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,092,800
Proper Divisor Sum 10,095,076
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9997711 ← → #9997739

Radix Representation

Decimal 9997724
Binary 100110001000110110011100 (24 bits)
Octal 0o46106634
Hexadecimal 0x988D9C

Divisor Catalog (24)

1 2 4 11 19 22 38 44 76 209 418 836 11,959 23,918 47,836 131,549 227,221 263,098 454,442 526,196 908,884 2,499,431 4,998,862 9,997,724

Collatz Trajectory (119 steps to reach 1)

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

9,997,724 4,998,862 2,499,431 7,498,294 3,749,147 11,247,442 5,623,721 16,871,164 8,435,582 4,217,791 12,653,374 6,326,687 18,980,062 9,490,031 28,470,094 14,235,047 42,705,142 21,352,571 64,057,714 32,028,857 96,086,572 48,043,286 24,021,643 72,064,930 36,032,465 108,097,396 54,048,698 27,024,349 81,073,048 40,536,524 20,268,262 10,134,131 30,402,394 15,201,197 45,603,592 22,801,796 11,400,898 5,700,449 17,101,348 8,550,674 4,275,337 12,826,012 6,413,006 3,206,503 9,619,510 4,809,755 14,429,266 7,214,633 21,643,900 10,821,950 5,410,975 16,232,926 8,116,463 24,349,390 12,174,695 36,524,086 18,262,043 54,786,130 27,393,065 82,179,196

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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