λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,726,865
57,726,865
5 × 7 × 67 × 103 × 239
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 67 × 103 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 81,469,440
Proper Divisor Sum 23,742,575
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #57726863 ← → #57726901

Radix Representation

Decimal 57726865
Binary 11011100001101011110010001 (26 bits)
Octal 0o334153621
Hexadecimal 0x370D791

Divisor Catalog (32)

1 5 7 35 67 103 239 335 469 515 721 1,195 1,673 2,345 3,605 6,901 8,365 16,013 24,617 34,505 48,307 80,065 112,091 123,085 172,319 241,535 560,455 861,595 1,649,339 8,246,695 11,545,373 57,726,865

Collatz Trajectory (119 steps to reach 1)

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

57,726,865 173,180,596 86,590,298 43,295,149 129,885,448 64,942,724 32,471,362 16,235,681 48,707,044 24,353,522 12,176,761 36,530,284 18,265,142 9,132,571 27,397,714 13,698,857 41,096,572 20,548,286 10,274,143 30,822,430 15,411,215 46,233,646 23,116,823 69,350,470 34,675,235 104,025,706 52,012,853 156,038,560 78,019,280 39,009,640 19,504,820 9,752,410 4,876,205 14,628,616 7,314,308 3,657,154 1,828,577 5,485,732 2,742,866 1,371,433 4,114,300 2,057,150 1,028,575 3,085,726 1,542,863 4,628,590 2,314,295 6,942,886 3,471,443 10,414,330 5,207,165 15,621,496 7,810,748 3,905,374 1,952,687 5,858,062 2,929,031 8,787,094 4,393,547 13,180,642

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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