λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,206,341
41,206,341
3 × 11 × 43 × 71 × 409
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 43 × 71 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,346,240
Proper Divisor Sum 21,139,899
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #41206339 ← → #41206343

Radix Representation

Decimal 41206341
Binary 10011101001100001001000101 (26 bits)
Octal 0o235141105
Hexadecimal 0x274C245

Divisor Catalog (32)

1 3 11 33 43 71 129 213 409 473 781 1,227 1,419 2,343 3,053 4,499 9,159 13,497 17,587 29,039 33,583 52,761 87,117 100,749 193,457 319,429 580,371 958,287 1,248,677 3,746,031 13,735,447 41,206,341

Collatz Trajectory (209 steps to reach 1)

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

41,206,341 123,619,024 61,809,512 30,904,756 15,452,378 7,726,189 23,178,568 11,589,284 5,794,642 2,897,321 8,691,964 4,345,982 2,172,991 6,518,974 3,259,487 9,778,462 4,889,231 14,667,694 7,333,847 22,001,542 11,000,771 33,002,314 16,501,157 49,503,472 24,751,736 12,375,868 6,187,934 3,093,967 9,281,902 4,640,951 13,922,854 6,961,427 20,884,282 10,442,141 31,326,424 15,663,212 7,831,606 3,915,803 11,747,410 5,873,705 17,621,116 8,810,558 4,405,279 13,215,838 6,607,919 19,823,758 9,911,879 29,735,638 14,867,819 44,603,458 22,301,729 66,905,188 33,452,594 16,726,297 50,178,892 25,089,446 12,544,723 37,634,170 18,817,085 56,451,256

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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