λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,857,180
52,857,180
22 × 32 × 5 × 293651
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 293651
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 160,333,992
Proper Divisor Sum 107,476,812
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #52857179 ← → #52857223

Radix Representation

Decimal 52857180
Binary 11001001101000100101011100 (26 bits)
Octal 0o311504534
Hexadecimal 0x326895C

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 293,651 587,302 880,953 1,174,604 1,468,255 1,761,906 2,642,859 2,936,510 3,523,812 4,404,765 5,285,718 5,873,020 8,809,530 10,571,436 13,214,295 17,619,060 26,428,590 52,857,180

Collatz Trajectory (199 steps to reach 1)

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

52,857,180 26,428,590 13,214,295 39,642,886 19,821,443 59,464,330 29,732,165 89,196,496 44,598,248 22,299,124 11,149,562 5,574,781 16,724,344 8,362,172 4,181,086 2,090,543 6,271,630 3,135,815 9,407,446 4,703,723 14,111,170 7,055,585 21,166,756 10,583,378 5,291,689 15,875,068 7,937,534 3,968,767 11,906,302 5,953,151 17,859,454 8,929,727 26,789,182 13,394,591 40,183,774 20,091,887 60,275,662 30,137,831 90,413,494 45,206,747 135,620,242 67,810,121 203,430,364 101,715,182 50,857,591 152,572,774 76,286,387 228,859,162 114,429,581 343,288,744 171,644,372 85,822,186 42,911,093 128,733,280 64,366,640 32,183,320 16,091,660 8,045,830 4,022,915 12,068,746

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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