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Ratio Atlas
Atlas › Integer Profiles › Node 9,900
9,900
22 × 32 × 52 × 11
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 33,852
Proper Divisor Sum 23,952
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #9887 ← → #9901

Radix Representation

Decimal 9900
Binary 10011010101100 (14 bits)
Octal 0o23254
Hexadecimal 0x26AC

Divisor Catalog (54)

1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1,100 1,650 1,980 2,475 3,300 4,950 9,900

Collatz Trajectory (73 steps to reach 1)

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

9,900 4,950 2,475 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11

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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