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Ratio Atlas
Atlas › Integer Profiles › Node 57,722,576
57,722,576
24 × 197 × 18313
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 197 × 18313
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 112,411,332
Proper Divisor Sum 54,688,756
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #57722573 ← → #57722647

Radix Representation

Decimal 57722576
Binary 11011100001100011011010000 (26 bits)
Octal 0o334143320
Hexadecimal 0x370C6D0

Divisor Catalog (20)

1 2 4 8 16 197 394 788 1,576 3,152 18,313 36,626 73,252 146,504 293,008 3,607,661 7,215,322 14,430,644 28,861,288 57,722,576

Collatz Trajectory (238 steps to reach 1)

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

57,722,576 28,861,288 14,430,644 7,215,322 3,607,661 10,822,984 5,411,492 2,705,746 1,352,873 4,058,620 2,029,310 1,014,655 3,043,966 1,521,983 4,565,950 2,282,975 6,848,926 3,424,463 10,273,390 5,136,695 15,410,086 7,705,043 23,115,130 11,557,565 34,672,696 17,336,348 8,668,174 4,334,087 13,002,262 6,501,131 19,503,394 9,751,697 29,255,092 14,627,546 7,313,773 21,941,320 10,970,660 5,485,330 2,742,665 8,227,996 4,113,998 2,056,999 6,170,998 3,085,499 9,256,498 4,628,249 13,884,748 6,942,374 3,471,187 10,413,562 5,206,781 15,620,344 7,810,172 3,905,086 1,952,543 5,857,630 2,928,815 8,786,446 4,393,223 13,179,670

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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