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Ratio Atlas
Atlas › Integer Profiles › Node 85,540,175
85,540,175
52 × 7 × 17 × 28753
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 7 × 17 × 28753
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 128,357,856
Proper Divisor Sum 42,817,681
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #85540163 ← → #85540181

Radix Representation

Decimal 85540175
Binary 101000110010011110101001111 (27 bits)
Octal 0o506236517
Hexadecimal 0x5193D4F

Divisor Catalog (24)

1 5 7 17 25 35 85 119 175 425 595 2,975 28,753 143,765 201,271 488,801 718,825 1,006,355 2,444,005 3,421,607 5,031,775 12,220,025 17,108,035 85,540,175

Collatz Trajectory (122 steps to reach 1)

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

85,540,175 256,620,526 128,310,263 384,930,790 192,465,395 577,396,186 288,698,093 866,094,280 433,047,140 216,523,570 108,261,785 324,785,356 162,392,678 81,196,339 243,589,018 121,794,509 365,383,528 182,691,764 91,345,882 45,672,941 137,018,824 68,509,412 34,254,706 17,127,353 51,382,060 25,691,030 12,845,515 38,536,546 19,268,273 57,804,820 28,902,410 14,451,205 43,353,616 21,676,808 10,838,404 5,419,202 2,709,601 8,128,804 4,064,402 2,032,201 6,096,604 3,048,302 1,524,151 4,572,454 2,286,227 6,858,682 3,429,341 10,288,024 5,144,012 2,572,006 1,286,003 3,858,010 1,929,005 5,787,016 2,893,508 1,446,754 723,377 2,170,132 1,085,066 542,533

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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