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Ratio Atlas
Atlas › Integer Profiles › Node 8,092,395
8,092,395
32 × 5 × 31 × 5801
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 31 × 5801
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,481,792
Proper Divisor Sum 6,389,397
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8092393 ← → #8092397

Radix Representation

Decimal 8092395
Binary 11110110111101011101011 (23 bits)
Octal 0o36675353
Hexadecimal 0x7B7AEB

Divisor Catalog (24)

1 3 5 9 15 31 45 93 155 279 465 1,395 5,801 17,403 29,005 52,209 87,015 179,831 261,045 539,493 899,155 1,618,479 2,697,465 8,092,395

Collatz Trajectory (155 steps to reach 1)

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

8,092,395 24,277,186 12,138,593 36,415,780 18,207,890 9,103,945 27,311,836 13,655,918 6,827,959 20,483,878 10,241,939 30,725,818 15,362,909 46,088,728 23,044,364 11,522,182 5,761,091 17,283,274 8,641,637 25,924,912 12,962,456 6,481,228 3,240,614 1,620,307 4,860,922 2,430,461 7,291,384 3,645,692 1,822,846 911,423 2,734,270 1,367,135 4,101,406 2,050,703 6,152,110 3,076,055 9,228,166 4,614,083 13,842,250 6,921,125 20,763,376 10,381,688 5,190,844 2,595,422 1,297,711 3,893,134 1,946,567 5,839,702 2,919,851 8,759,554 4,379,777 13,139,332 6,569,666 3,284,833 9,854,500 4,927,250 2,463,625 7,390,876 3,695,438 1,847,719

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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