λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,701,766
57,701,766
2 × 3 × 83 × 109 × 1063
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 83 × 109 × 1063
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 117,976,320
Proper Divisor Sum 60,274,554
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #57701753 ← → #57701773

Radix Representation

Decimal 57701766
Binary 11011100000111010110000110 (26 bits)
Octal 0o334072606
Hexadecimal 0x3707586

Divisor Catalog (32)

1 2 3 6 83 109 166 218 249 327 498 654 1,063 2,126 3,189 6,378 9,047 18,094 27,141 54,282 88,229 115,867 176,458 231,734 264,687 347,601 529,374 695,202 9,616,961 19,233,922 28,850,883 57,701,766

Collatz Trajectory (207 steps to reach 1)

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

57,701,766 28,850,883 86,552,650 43,276,325 129,828,976 64,914,488 32,457,244 16,228,622 8,114,311 24,342,934 12,171,467 36,514,402 18,257,201 54,771,604 27,385,802 13,692,901 41,078,704 20,539,352 10,269,676 5,134,838 2,567,419 7,702,258 3,851,129 11,553,388 5,776,694 2,888,347 8,665,042 4,332,521 12,997,564 6,498,782 3,249,391 9,748,174 4,874,087 14,622,262 7,311,131 21,933,394 10,966,697 32,900,092 16,450,046 8,225,023 24,675,070 12,337,535 37,012,606 18,506,303 55,518,910 27,759,455 83,278,366 41,639,183 124,917,550 62,458,775 187,376,326 93,688,163 281,064,490 140,532,245 421,596,736 210,798,368 105,399,184 52,699,592 26,349,796 13,174,898

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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