λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,091,775
8,091,775
52 × 31 × 53 × 197
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 31 × 53 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,606,464
Proper Divisor Sum 2,514,689
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8091773 ← → #8091803

Radix Representation

Decimal 8091775
Binary 11110110111100001111111 (23 bits)
Octal 0o36674177
Hexadecimal 0x7B787F

Divisor Catalog (24)

1 5 25 31 53 155 197 265 775 985 1,325 1,643 4,925 6,107 8,215 10,441 30,535 41,075 52,205 152,675 261,025 323,671 1,618,355 8,091,775

Collatz Trajectory (137 steps to reach 1)

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

8,091,775 24,275,326 12,137,663 36,412,990 18,206,495 54,619,486 27,309,743 81,929,230 40,964,615 122,893,846 61,446,923 184,340,770 92,170,385 276,511,156 138,255,578 69,127,789 207,383,368 103,691,684 51,845,842 25,922,921 77,768,764 38,884,382 19,442,191 58,326,574 29,163,287 87,489,862 43,744,931 131,234,794 65,617,397 196,852,192 98,426,096 49,213,048 24,606,524 12,303,262 6,151,631 18,454,894 9,227,447 27,682,342 13,841,171 41,523,514 20,761,757 62,285,272 31,142,636 15,571,318 7,785,659 23,356,978 11,678,489 35,035,468 17,517,734 8,758,867 26,276,602 13,138,301 39,414,904 19,707,452 9,853,726 4,926,863 14,780,590 7,390,295 22,170,886 11,085,443

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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