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Ratio Atlas
Atlas › Integer Profiles › Node 9,810,315
9,810,315
34 × 5 × 24223
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 24223
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 17,586,624
Proper Divisor Sum 7,776,309
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9810293 ← → #9810329

Radix Representation

Decimal 9810315
Binary 100101011011000110001011 (24 bits)
Octal 0o45330613
Hexadecimal 0x95B18B

Divisor Catalog (20)

1 3 5 9 15 27 45 81 135 405 24,223 72,669 121,115 218,007 363,345 654,021 1,090,035 1,962,063 3,270,105 9,810,315

Collatz Trajectory (269 steps to reach 1)

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

9,810,315 29,430,946 14,715,473 44,146,420 22,073,210 11,036,605 33,109,816 16,554,908 8,277,454 4,138,727 12,416,182 6,208,091 18,624,274 9,312,137 27,936,412 13,968,206 6,984,103 20,952,310 10,476,155 31,428,466 15,714,233 47,142,700 23,571,350 11,785,675 35,357,026 17,678,513 53,035,540 26,517,770 13,258,885 39,776,656 19,888,328 9,944,164 4,972,082 2,486,041 7,458,124 3,729,062 1,864,531 5,593,594 2,796,797 8,390,392 4,195,196 2,097,598 1,048,799 3,146,398 1,573,199 4,719,598 2,359,799 7,079,398 3,539,699 10,619,098 5,309,549 15,928,648 7,964,324 3,982,162 1,991,081 5,973,244 2,986,622 1,493,311 4,479,934 2,239,967

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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