λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,407,635
67,407,635
5 × 17 × 472 × 359
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 17 × 47^2 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 87,752,160
Proper Divisor Sum 20,344,525
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #67407631 ← → #67407643

Radix Representation

Decimal 67407635
Binary 100000001001000111100010011 (27 bits)
Octal 0o401107423
Hexadecimal 0x4048F13

Divisor Catalog (24)

1 5 17 47 85 235 359 799 1,795 2,209 3,995 6,103 11,045 16,873 30,515 37,553 84,365 187,765 286,841 793,031 1,434,205 3,965,155 13,481,527 67,407,635

Collatz Trajectory (246 steps to reach 1)

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

67,407,635 202,222,906 101,111,453 303,334,360 151,667,180 75,833,590 37,916,795 113,750,386 56,875,193 170,625,580 85,312,790 42,656,395 127,969,186 63,984,593 191,953,780 95,976,890 47,988,445 143,965,336 71,982,668 35,991,334 17,995,667 53,987,002 26,993,501 80,980,504 40,490,252 20,245,126 10,122,563 30,367,690 15,183,845 45,551,536 22,775,768 11,387,884 5,693,942 2,846,971 8,540,914 4,270,457 12,811,372 6,405,686 3,202,843 9,608,530 4,804,265 14,412,796 7,206,398 3,603,199 10,809,598 5,404,799 16,214,398 8,107,199 24,321,598 12,160,799 36,482,398 18,241,199 54,723,598 27,361,799 82,085,398 41,042,699 123,128,098 61,564,049 184,692,148 92,346,074

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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