λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,003,739
41,003,739
34 × 72 × 10331
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 7^2 × 10331
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 71,259,804
Proper Divisor Sum 30,256,065
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #41003737 ← → #41003741

Radix Representation

Decimal 41003739
Binary 10011100011010101011011011 (26 bits)
Octal 0o234325333
Hexadecimal 0x271AADB

Divisor Catalog (30)

1 3 7 9 21 27 49 63 81 147 189 441 567 1,323 3,969 10,331 30,993 72,317 92,979 216,951 278,937 506,219 650,853 836,811 1,518,657 1,952,559 4,555,971 5,857,677 13,667,913 41,003,739

Collatz Trajectory (359 steps to reach 1)

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

41,003,739 123,011,218 61,505,609 184,516,828 92,258,414 46,129,207 138,387,622 69,193,811 207,581,434 103,790,717 311,372,152 155,686,076 77,843,038 38,921,519 116,764,558 58,382,279 175,146,838 87,573,419 262,720,258 131,360,129 394,080,388 197,040,194 98,520,097 295,560,292 147,780,146 73,890,073 221,670,220 110,835,110 55,417,555 166,252,666 83,126,333 249,379,000 124,689,500 62,344,750 31,172,375 93,517,126 46,758,563 140,275,690 70,137,845 210,413,536 105,206,768 52,603,384 26,301,692 13,150,846 6,575,423 19,726,270 9,863,135 29,589,406 14,794,703 44,384,110 22,192,055 66,576,166 33,288,083 99,864,250 49,932,125 149,796,376 74,898,188 37,449,094 18,724,547 56,173,642

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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