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Ratio Atlas
Atlas › Integer Profiles › Node 82,802,421
82,802,421
32 × 13 × 103 × 6871
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 13 × 103 × 6871
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 130,073,216
Proper Divisor Sum 47,270,795
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #82802417 ← → #82802479

Radix Representation

Decimal 82802421
Binary 100111011110111011011110101 (27 bits)
Octal 0o473673365
Hexadecimal 0x4EF76F5

Divisor Catalog (24)

1 3 9 13 39 103 117 309 927 1,339 4,017 6,871 12,051 20,613 61,839 89,323 267,969 707,713 803,907 2,123,139 6,369,417 9,200,269 27,600,807 82,802,421

Collatz Trajectory (192 steps to reach 1)

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

82,802,421 248,407,264 124,203,632 62,101,816 31,050,908 15,525,454 7,762,727 23,288,182 11,644,091 34,932,274 17,466,137 52,398,412 26,199,206 13,099,603 39,298,810 19,649,405 58,948,216 29,474,108 14,737,054 7,368,527 22,105,582 11,052,791 33,158,374 16,579,187 49,737,562 24,868,781 74,606,344 37,303,172 18,651,586 9,325,793 27,977,380 13,988,690 6,994,345 20,983,036 10,491,518 5,245,759 15,737,278 7,868,639 23,605,918 11,802,959 35,408,878 17,704,439 53,113,318 26,556,659 79,669,978 39,834,989 119,504,968 59,752,484 29,876,242 14,938,121 44,814,364 22,407,182 11,203,591 33,610,774 16,805,387 50,416,162 25,208,081 75,624,244 37,812,122 18,906,061

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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