λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,946,010
80,946,010
2 × 5 × 172 × 37 × 757
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 17^2 × 37 × 757
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 159,170,904
Proper Divisor Sum 78,224,894
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #80945987 ← → #80946029

Radix Representation

Decimal 80946010
Binary 100110100110010001101011010 (27 bits)
Octal 0o464621532
Hexadecimal 0x4D3235A

Divisor Catalog (48)

1 2 5 10 17 34 37 74 85 170 185 289 370 578 629 757 1,258 1,445 1,514 2,890 3,145 3,785 6,290 7,570 10,693 12,869 21,386 25,738 28,009 53,465 56,018 64,345 106,930 128,690 140,045 218,773 280,090 437,546 476,153 952,306 1,093,865 2,187,730 2,380,765 4,761,530 8,094,601 16,189,202 40,473,005 80,946,010

Collatz Trajectory (210 steps to reach 1)

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

80,946,010 40,473,005 121,419,016 60,709,508 30,354,754 15,177,377 45,532,132 22,766,066 11,383,033 34,149,100 17,074,550 8,537,275 25,611,826 12,805,913 38,417,740 19,208,870 9,604,435 28,813,306 14,406,653 43,219,960 21,609,980 10,804,990 5,402,495 16,207,486 8,103,743 24,311,230 12,155,615 36,466,846 18,233,423 54,700,270 27,350,135 82,050,406 41,025,203 123,075,610 61,537,805 184,613,416 92,306,708 46,153,354 23,076,677 69,230,032 34,615,016 17,307,508 8,653,754 4,326,877 12,980,632 6,490,316 3,245,158 1,622,579 4,867,738 2,433,869 7,301,608 3,650,804 1,825,402 912,701 2,738,104 1,369,052 684,526 342,263 1,026,790 513,395

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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