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Ratio Atlas
Atlas › Integer Profiles › Node 27,140,673
27,140,673
3 × 7 × 71 × 109 × 167
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 71 × 109 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 42,577,920
Proper Divisor Sum 15,437,247
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #27140671 ← → #27140677

Radix Representation

Decimal 27140673
Binary 1100111100010001001000001 (25 bits)
Octal 0o147421101
Hexadecimal 0x19E2241

Divisor Catalog (32)

1 3 7 21 71 109 167 213 327 497 501 763 1,169 1,491 2,289 3,507 7,739 11,857 18,203 23,217 35,571 54,173 54,609 82,999 127,421 162,519 248,997 382,263 1,292,413 3,877,239 9,046,891 27,140,673

Collatz Trajectory (224 steps to reach 1)

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

27,140,673 81,422,020 40,711,010 20,355,505 61,066,516 30,533,258 15,266,629 45,799,888 22,899,944 11,449,972 5,724,986 2,862,493 8,587,480 4,293,740 2,146,870 1,073,435 3,220,306 1,610,153 4,830,460 2,415,230 1,207,615 3,622,846 1,811,423 5,434,270 2,717,135 8,151,406 4,075,703 12,227,110 6,113,555 18,340,666 9,170,333 27,511,000 13,755,500 6,877,750 3,438,875 10,316,626 5,158,313 15,474,940 7,737,470 3,868,735 11,606,206 5,803,103 17,409,310 8,704,655 26,113,966 13,056,983 39,170,950 19,585,475 58,756,426 29,378,213 88,134,640 44,067,320 22,033,660 11,016,830 5,508,415 16,525,246 8,262,623 24,787,870 12,393,935 37,181,806

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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