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Ratio Atlas
Atlas › Integer Profiles › Node 57,727,406
57,727,406
2 × 112 × 113 × 2111
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11^2 × 113 × 2111
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 96,066,432
Proper Divisor Sum 38,339,026
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #57727379 ← → #57727409

Radix Representation

Decimal 57727406
Binary 11011100001101100110101110 (26 bits)
Octal 0o334154656
Hexadecimal 0x370D9AE

Divisor Catalog (24)

1 2 11 22 113 121 226 242 1,243 2,111 2,486 4,222 13,673 23,221 27,346 46,442 238,543 255,431 477,086 510,862 2,623,973 5,247,946 28,863,703 57,727,406

Collatz Trajectory (207 steps to reach 1)

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

57,727,406 28,863,703 86,591,110 43,295,555 129,886,666 64,943,333 194,830,000 97,415,000 48,707,500 24,353,750 12,176,875 36,530,626 18,265,313 54,795,940 27,397,970 13,698,985 41,096,956 20,548,478 10,274,239 30,822,718 15,411,359 46,234,078 23,117,039 69,351,118 34,675,559 104,026,678 52,013,339 156,040,018 78,020,009 234,060,028 117,030,014 58,515,007 175,545,022 87,772,511 263,317,534 131,658,767 394,976,302 197,488,151 592,464,454 296,232,227 888,696,682 444,348,341 1,333,045,024 666,522,512 333,261,256 166,630,628 83,315,314 41,657,657 124,972,972 62,486,486 31,243,243 93,729,730 46,864,865 140,594,596 70,297,298 35,148,649 105,445,948 52,722,974 26,361,487 79,084,462

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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