λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,192,550
56,192,550
2 × 3 × 52 × 41 × 9137
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 41 × 9137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 142,772,112
Proper Divisor Sum 86,579,562
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #56192537 ← → #56192551

Radix Representation

Decimal 56192550
Binary 11010110010110111000100110 (26 bits)
Octal 0o326267046
Hexadecimal 0x3596E26

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 410 615 1,025 1,230 2,050 3,075 6,150 9,137 18,274 27,411 45,685 54,822 91,370 137,055 228,425 274,110 374,617 456,850 685,275 749,234 1,123,851 1,370,550 1,873,085 2,247,702 3,746,170 5,619,255 9,365,425 11,238,510 18,730,850 28,096,275 56,192,550

Collatz Trajectory (238 steps to reach 1)

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

56,192,550 28,096,275 84,288,826 42,144,413 126,433,240 63,216,620 31,608,310 15,804,155 47,412,466 23,706,233 71,118,700 35,559,350 17,779,675 53,339,026 26,669,513 80,008,540 40,004,270 20,002,135 60,006,406 30,003,203 90,009,610 45,004,805 135,014,416 67,507,208 33,753,604 16,876,802 8,438,401 25,315,204 12,657,602 6,328,801 18,986,404 9,493,202 4,746,601 14,239,804 7,119,902 3,559,951 10,679,854 5,339,927 16,019,782 8,009,891 24,029,674 12,014,837 36,044,512 18,022,256 9,011,128 4,505,564 2,252,782 1,126,391 3,379,174 1,689,587 5,068,762 2,534,381 7,603,144 3,801,572 1,900,786 950,393 2,851,180 1,425,590 712,795 2,138,386

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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