λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,328,124
15,328,124
22 × 7 × 29 × 43 × 439
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 29 × 43 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,524,800
Proper Divisor Sum 17,196,676
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #15328121 ← → #15328127

Radix Representation

Decimal 15328124
Binary 111010011110001101111100 (24 bits)
Octal 0o72361574
Hexadecimal 0xE9E37C

Divisor Catalog (48)

1 2 4 7 14 28 29 43 58 86 116 172 203 301 406 439 602 812 878 1,204 1,247 1,756 2,494 3,073 4,988 6,146 8,729 12,292 12,731 17,458 18,877 25,462 34,916 37,754 50,924 75,508 89,117 132,139 178,234 264,278 356,468 528,556 547,433 1,094,866 2,189,732 3,832,031 7,664,062 15,328,124

Collatz Trajectory (249 steps to reach 1)

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

15,328,124 7,664,062 3,832,031 11,496,094 5,748,047 17,244,142 8,622,071 25,866,214 12,933,107 38,799,322 19,399,661 58,198,984 29,099,492 14,549,746 7,274,873 21,824,620 10,912,310 5,456,155 16,368,466 8,184,233 24,552,700 12,276,350 6,138,175 18,414,526 9,207,263 27,621,790 13,810,895 41,432,686 20,716,343 62,149,030 31,074,515 93,223,546 46,611,773 139,835,320 69,917,660 34,958,830 17,479,415 52,438,246 26,219,123 78,657,370 39,328,685 117,986,056 58,993,028 29,496,514 14,748,257 44,244,772 22,122,386 11,061,193 33,183,580 16,591,790 8,295,895 24,887,686 12,443,843 37,331,530 18,665,765 55,997,296 27,998,648 13,999,324 6,999,662 3,499,831

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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