λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,735,834
57,735,834
2 × 3 × 13 × 47 × 15749
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13 × 47 × 15749
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 127,008,000
Proper Divisor Sum 69,272,166
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57735833 ← → #57735841

Radix Representation

Decimal 57735834
Binary 11011100001111101010011010 (26 bits)
Octal 0o334175232
Hexadecimal 0x370FA9A

Divisor Catalog (32)

1 2 3 6 13 26 39 47 78 94 141 282 611 1,222 1,833 3,666 15,749 31,498 47,247 94,494 204,737 409,474 614,211 740,203 1,228,422 1,480,406 2,220,609 4,441,218 9,622,639 19,245,278 28,867,917 57,735,834

Collatz Trajectory (207 steps to reach 1)

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

57,735,834 28,867,917 86,603,752 43,301,876 21,650,938 10,825,469 32,476,408 16,238,204 8,119,102 4,059,551 12,178,654 6,089,327 18,267,982 9,133,991 27,401,974 13,700,987 41,102,962 20,551,481 61,654,444 30,827,222 15,413,611 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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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