λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,735,842
57,735,842
2 × 172 × 23 × 43 × 101
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 17^2 × 23 × 43 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,202,752
Proper Divisor Sum 41,466,910
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #57735841 ← → #57735863

Radix Representation

Decimal 57735842
Binary 11011100001111101010100010 (26 bits)
Octal 0o334175242
Hexadecimal 0x370FAA2

Divisor Catalog (48)

1 2 17 23 34 43 46 86 101 202 289 391 578 731 782 989 1,462 1,717 1,978 2,323 3,434 4,343 4,646 6,647 8,686 12,427 13,294 16,813 24,854 29,189 33,626 39,491 58,378 73,831 78,982 99,889 147,662 199,778 285,821 571,642 671,347 1,255,127 1,342,694 1,698,113 2,510,254 3,396,226 28,867,921 57,735,842

Collatz Trajectory (207 steps to reach 1)

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

57,735,842 28,867,921 86,603,764 43,301,882 21,650,941 64,952,824 32,476,412 16,238,206 8,119,103 24,357,310 12,178,655 36,535,966 18,267,983 54,803,950 27,401,975 82,205,926 41,102,963 123,308,890 61,654,445 184,963,336 92,481,668 46,240,834 23,120,417 69,361,252 34,680,626 17,340,313 52,020,940 26,010,470 13,005,235 39,015,706 19,507,853 58,523,560 29,261,780 14,630,890 7,315,445 21,946,336 10,973,168 5,486,584 2,743,292 1,371,646 685,823 2,057,470 1,028,735 3,086,206 1,543,103 4,629,310 2,314,655 6,943,966 3,471,983 10,415,950 5,207,975 15,623,926 7,811,963 23,435,890 11,717,945 35,153,836 17,576,918 8,788,459 26,365,378 13,182,689

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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