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Ratio Atlas
Atlas › Integer Profiles › Node 9,506,205
9,506,205
32 × 5 × 151 × 1399
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 151 × 1399
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,598,400
Proper Divisor Sum 7,092,195
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9506131 ← → #9506207

Radix Representation

Decimal 9506205
Binary 100100010000110110011101 (24 bits)
Octal 0o44206635
Hexadecimal 0x910D9D

Divisor Catalog (24)

1 3 5 9 15 45 151 453 755 1,359 1,399 2,265 4,197 6,795 6,995 12,591 20,985 62,955 211,249 633,747 1,056,245 1,901,241 3,168,735 9,506,205

Collatz Trajectory (124 steps to reach 1)

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

9,506,205 28,518,616 14,259,308 7,129,654 3,564,827 10,694,482 5,347,241 16,041,724 8,020,862 4,010,431 12,031,294 6,015,647 18,046,942 9,023,471 27,070,414 13,535,207 40,605,622 20,302,811 60,908,434 30,454,217 91,362,652 45,681,326 22,840,663 68,521,990 34,260,995 102,782,986 51,391,493 154,174,480 77,087,240 38,543,620 19,271,810 9,635,905 28,907,716 14,453,858 7,226,929 21,680,788 10,840,394 5,420,197 16,260,592 8,130,296 4,065,148 2,032,574 1,016,287 3,048,862 1,524,431 4,573,294 2,286,647 6,859,942 3,429,971 10,289,914 5,144,957 15,434,872 7,717,436 3,858,718 1,929,359 5,788,078 2,894,039 8,682,118 4,341,059 13,023,178

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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