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Ratio Atlas
Atlas › Integer Profiles › Node 10,071,135
10,071,135
38 × 5 × 307
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^8 × 5 × 307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,186,168
Proper Divisor Sum 8,115,033
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10071133 ← → #10071143

Radix Representation

Decimal 10071135
Binary 100110011010110001011111 (24 bits)
Octal 0o46326137
Hexadecimal 0x99AC5F

Divisor Catalog (36)

1 3 5 9 15 27 45 81 135 243 307 405 729 921 1,215 1,535 2,187 2,763 3,645 4,605 6,561 8,289 10,935 13,815 24,867 32,805 41,445 74,601 124,335 223,803 373,005 671,409 1,119,015 2,014,227 3,357,045 10,071,135

Collatz Trajectory (243 steps to reach 1)

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

10,071,135 30,213,406 15,106,703 45,320,110 22,660,055 67,980,166 33,990,083 101,970,250 50,985,125 152,955,376 76,477,688 38,238,844 19,119,422 9,559,711 28,679,134 14,339,567 43,018,702 21,509,351 64,528,054 32,264,027 96,792,082 48,396,041 145,188,124 72,594,062 36,297,031 108,891,094 54,445,547 163,336,642 81,668,321 245,004,964 122,502,482 61,251,241 183,753,724 91,876,862 45,938,431 137,815,294 68,907,647 206,722,942 103,361,471 310,084,414 155,042,207 465,126,622 232,563,311 697,689,934 348,844,967 1,046,534,902 523,267,451 1,569,802,354 784,901,177 2,354,703,532 1,177,351,766 588,675,883 1,766,027,650 883,013,825 2,649,041,476 1,324,520,738 662,260,369 1,986,781,108 993,390,554 496,695,277

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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