λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,920,165
7,920,165
3 × 5 × 11 × 23 × 2087
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 23 × 2087
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,432,256
Proper Divisor Sum 6,512,091
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7920163 ← → #7920173

Radix Representation

Decimal 7920165
Binary 11110001101101000100101 (23 bits)
Octal 0o36155045
Hexadecimal 0x78DA25

Divisor Catalog (32)

1 3 5 11 15 23 33 55 69 115 165 253 345 759 1,265 2,087 3,795 6,261 10,435 22,957 31,305 48,001 68,871 114,785 144,003 240,005 344,355 528,011 720,015 1,584,033 2,640,055 7,920,165

Collatz Trajectory (199 steps to reach 1)

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

7,920,165 23,760,496 11,880,248 5,940,124 2,970,062 1,485,031 4,455,094 2,227,547 6,682,642 3,341,321 10,023,964 5,011,982 2,505,991 7,517,974 3,758,987 11,276,962 5,638,481 16,915,444 8,457,722 4,228,861 12,686,584 6,343,292 3,171,646 1,585,823 4,757,470 2,378,735 7,136,206 3,568,103 10,704,310 5,352,155 16,056,466 8,028,233 24,084,700 12,042,350 6,021,175 18,063,526 9,031,763 27,095,290 13,547,645 40,642,936 20,321,468 10,160,734 5,080,367 15,241,102 7,620,551 22,861,654 11,430,827 34,292,482 17,146,241 51,438,724 25,719,362 12,859,681 38,579,044 19,289,522 9,644,761 28,934,284 14,467,142 7,233,571 21,700,714 10,850,357

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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