λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,007,192
71,007,192
23 × 34 × 109579
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^4 × 109579
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 198,887,700
Proper Divisor Sum 127,880,508
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #71007179 ← → #71007193

Radix Representation

Decimal 71007192
Binary 100001110110111101111011000 (27 bits)
Octal 0o416675730
Hexadecimal 0x43B7BD8

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 109,579 219,158 328,737 438,316 657,474 876,632 986,211 1,314,948 1,972,422 2,629,896 2,958,633 3,944,844 5,917,266 7,889,688 8,875,899 11,834,532 17,751,798 23,669,064 35,503,596 71,007,192

Collatz Trajectory (321 steps to reach 1)

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

71,007,192 35,503,596 17,751,798 8,875,899 26,627,698 13,313,849 39,941,548 19,970,774 9,985,387 29,956,162 14,978,081 44,934,244 22,467,122 11,233,561 33,700,684 16,850,342 8,425,171 25,275,514 12,637,757 37,913,272 18,956,636 9,478,318 4,739,159 14,217,478 7,108,739 21,326,218 10,663,109 31,989,328 15,994,664 7,997,332 3,998,666 1,999,333 5,998,000 2,999,000 1,499,500 749,750 374,875 1,124,626 562,313 1,686,940 843,470 421,735 1,265,206 632,603 1,897,810 948,905 2,846,716 1,423,358 711,679 2,135,038 1,067,519 3,202,558 1,601,279 4,803,838 2,401,919 7,205,758 3,602,879 10,808,638 5,404,319 16,212,958

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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