λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,723,162
57,723,162
2 × 3 × 7 × 41 × 33521
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 41 × 33521
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 135,160,704
Proper Divisor Sum 77,437,542
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #57723161 ← → #57723163

Radix Representation

Decimal 57723162
Binary 11011100001100100100011010 (26 bits)
Octal 0o334144432
Hexadecimal 0x370C91A

Divisor Catalog (32)

1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1,722 33,521 67,042 100,563 201,126 234,647 469,294 703,941 1,374,361 1,407,882 2,748,722 4,123,083 8,246,166 9,620,527 19,241,054 28,861,581 57,723,162

Collatz Trajectory (238 steps to reach 1)

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

57,723,162 28,861,581 86,584,744 43,292,372 21,646,186 10,823,093 32,469,280 16,234,640 8,117,320 4,058,660 2,029,330 1,014,665 3,043,996 1,521,998 760,999 2,282,998 1,141,499 3,424,498 1,712,249 5,136,748 2,568,374 1,284,187 3,852,562 1,926,281 5,778,844 2,889,422 1,444,711 4,334,134 2,167,067 6,501,202 3,250,601 9,751,804 4,875,902 2,437,951 7,313,854 3,656,927 10,970,782 5,485,391 16,456,174 8,228,087 24,684,262 12,342,131 37,026,394 18,513,197 55,539,592 27,769,796 13,884,898 6,942,449 20,827,348 10,413,674 5,206,837 15,620,512 7,810,256 3,905,128 1,952,564 976,282 488,141 1,464,424 732,212 366,106

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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