λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,288,379
8,288,379
33 × 112 × 43 × 59
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 11^2 × 43 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,044,800
Proper Divisor Sum 5,756,421
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8288353 ← → #8288411

Radix Representation

Decimal 8288379
Binary 11111100111100001111011 (23 bits)
Octal 0o37474173
Hexadecimal 0x7E787B

Divisor Catalog (48)

1 3 9 11 27 33 43 59 99 121 129 177 297 363 387 473 531 649 1,089 1,161 1,419 1,593 1,947 2,537 3,267 4,257 5,203 5,841 7,139 7,611 12,771 15,609 17,523 21,417 22,833 27,907 46,827 64,251 68,499 83,721 140,481 192,753 251,163 306,977 753,489 920,931 2,762,793 8,288,379

Collatz Trajectory (274 steps to reach 1)

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

8,288,379 24,865,138 12,432,569 37,297,708 18,648,854 9,324,427 27,973,282 13,986,641 41,959,924 20,979,962 10,489,981 31,469,944 15,734,972 7,867,486 3,933,743 11,801,230 5,900,615 17,701,846 8,850,923 26,552,770 13,276,385 39,829,156 19,914,578 9,957,289 29,871,868 14,935,934 7,467,967 22,403,902 11,201,951 33,605,854 16,802,927 50,408,782 25,204,391 75,613,174 37,806,587 113,419,762 56,709,881 170,129,644 85,064,822 42,532,411 127,597,234 63,798,617 191,395,852 95,697,926 47,848,963 143,546,890 71,773,445 215,320,336 107,660,168 53,830,084 26,915,042 13,457,521 40,372,564 20,186,282 10,093,141 30,279,424 15,139,712 7,569,856 3,784,928 1,892,464

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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