λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,092,385
8,092,385
5 × 7 × 19 × 43 × 283
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 19 × 43 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,996,160
Proper Divisor Sum 3,903,775
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8092369 ← → #8092393

Radix Representation

Decimal 8092385
Binary 11110110111101011100001 (23 bits)
Octal 0o36675341
Hexadecimal 0x7B7AE1

Divisor Catalog (32)

1 5 7 19 35 43 95 133 215 283 301 665 817 1,415 1,505 1,981 4,085 5,377 5,719 9,905 12,169 26,885 28,595 37,639 60,845 85,183 188,195 231,211 425,915 1,156,055 1,618,477 8,092,385

Collatz Trajectory (155 steps to reach 1)

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

8,092,385 24,277,156 12,138,578 6,069,289 18,207,868 9,103,934 4,551,967 13,655,902 6,827,951 20,483,854 10,241,927 30,725,782 15,362,891 46,088,674 23,044,337 69,133,012 34,566,506 17,283,253 51,849,760 25,924,880 12,962,440 6,481,220 3,240,610 1,620,305 4,860,916 2,430,458 1,215,229 3,645,688 1,822,844 911,422 455,711 1,367,134 683,567 2,050,702 1,025,351 3,076,054 1,538,027 4,614,082 2,307,041 6,921,124 3,460,562 1,730,281 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 #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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