λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,002,764
41,002,764
22 × 3 × 11 × 310627
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 310627
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 104,371,008
Proper Divisor Sum 63,368,244
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #41002763 ← → #41002777

Radix Representation

Decimal 41002764
Binary 10011100011010011100001100 (26 bits)
Octal 0o234323414
Hexadecimal 0x271A70C

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 310,627 621,254 931,881 1,242,508 1,863,762 3,416,897 3,727,524 6,833,794 10,250,691 13,667,588 20,501,382 41,002,764

Collatz Trajectory (191 steps to reach 1)

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

41,002,764 20,501,382 10,250,691 30,752,074 15,376,037 46,128,112 23,064,056 11,532,028 5,766,014 2,883,007 8,649,022 4,324,511 12,973,534 6,486,767 19,460,302 9,730,151 29,190,454 14,595,227 43,785,682 21,892,841 65,678,524 32,839,262 16,419,631 49,258,894 24,629,447 73,888,342 36,944,171 110,832,514 55,416,257 166,248,772 83,124,386 41,562,193 124,686,580 62,343,290 31,171,645 93,514,936 46,757,468 23,378,734 11,689,367 35,068,102 17,534,051 52,602,154 26,301,077 78,903,232 39,451,616 19,725,808 9,862,904 4,931,452 2,465,726 1,232,863 3,698,590 1,849,295 5,547,886 2,773,943 8,321,830 4,160,915 12,482,746 6,241,373 18,724,120 9,362,060

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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