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Ratio Atlas
Atlas › Integer Profiles › Node 71,508,338
71,508,338
2 × 112 × 47 × 6287
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11^2 × 47 × 6287
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 120,427,776
Proper Divisor Sum 48,919,438
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #71508331 ← → #71508347

Radix Representation

Decimal 71508338
Binary 100010000110010000101110010 (27 bits)
Octal 0o420620562
Hexadecimal 0x4432172

Divisor Catalog (24)

1 2 11 22 47 94 121 242 517 1,034 5,687 6,287 11,374 12,574 69,157 138,314 295,489 590,978 760,727 1,521,454 3,250,379 6,500,758 35,754,169 71,508,338

Collatz Trajectory (290 steps to reach 1)

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

71,508,338 35,754,169 107,262,508 53,631,254 26,815,627 80,446,882 40,223,441 120,670,324 60,335,162 30,167,581 90,502,744 45,251,372 22,625,686 11,312,843 33,938,530 16,969,265 50,907,796 25,453,898 12,726,949 38,180,848 19,090,424 9,545,212 4,772,606 2,386,303 7,158,910 3,579,455 10,738,366 5,369,183 16,107,550 8,053,775 24,161,326 12,080,663 36,241,990 18,120,995 54,362,986 27,181,493 81,544,480 40,772,240 20,386,120 10,193,060 5,096,530 2,548,265 7,644,796 3,822,398 1,911,199 5,733,598 2,866,799 8,600,398 4,300,199 12,900,598 6,450,299 19,350,898 9,675,449 29,026,348 14,513,174 7,256,587 21,769,762 10,884,881 32,654,644 16,327,322

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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