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Ratio Atlas
Atlas › Integer Profiles › Node 41,009,733
41,009,733
34 × 19 × 26647
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 19 × 26647
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 64,488,160
Proper Divisor Sum 23,478,427
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #41009723 ← → #41009743

Radix Representation

Decimal 41009733
Binary 10011100011100001001000101 (26 bits)
Octal 0o234341105
Hexadecimal 0x271C245

Divisor Catalog (20)

1 3 9 19 27 57 81 171 513 1,539 26,647 79,941 239,823 506,293 719,469 1,518,879 2,158,407 4,556,637 13,669,911 41,009,733

Collatz Trajectory (266 steps to reach 1)

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

41,009,733 123,029,200 61,514,600 30,757,300 15,378,650 7,689,325 23,067,976 11,533,988 5,766,994 2,883,497 8,650,492 4,325,246 2,162,623 6,487,870 3,243,935 9,731,806 4,865,903 14,597,710 7,298,855 21,896,566 10,948,283 32,844,850 16,422,425 49,267,276 24,633,638 12,316,819 36,950,458 18,475,229 55,425,688 27,712,844 13,856,422 6,928,211 20,784,634 10,392,317 31,176,952 15,588,476 7,794,238 3,897,119 11,691,358 5,845,679 17,537,038 8,768,519 26,305,558 13,152,779 39,458,338 19,729,169 59,187,508 29,593,754 14,796,877 44,390,632 22,195,316 11,097,658 5,548,829 16,646,488 8,323,244 4,161,622 2,080,811 6,242,434 3,121,217 9,363,652

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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