λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,702,332
41,702,332
22 × 72 × 263 × 809
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 263 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 85,322,160
Proper Divisor Sum 43,619,828
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #41702329 ← → #41702333

Radix Representation

Decimal 41702332
Binary 10011111000101001110111100 (26 bits)
Octal 0o237051674
Hexadecimal 0x27C53BC

Divisor Catalog (36)

1 2 4 7 14 28 49 98 196 263 526 809 1,052 1,618 1,841 3,236 3,682 5,663 7,364 11,326 12,887 22,652 25,774 39,641 51,548 79,282 158,564 212,767 425,534 851,068 1,489,369 2,978,738 5,957,476 10,425,583 20,851,166 41,702,332

Collatz Trajectory (160 steps to reach 1)

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

41,702,332 20,851,166 10,425,583 31,276,750 15,638,375 46,915,126 23,457,563 70,372,690 35,186,345 105,559,036 52,779,518 26,389,759 79,169,278 39,584,639 118,753,918 59,376,959 178,130,878 89,065,439 267,196,318 133,598,159 400,794,478 200,397,239 601,191,718 300,595,859 901,787,578 450,893,789 1,352,681,368 676,340,684 338,170,342 169,085,171 507,255,514 253,627,757 760,883,272 380,441,636 190,220,818 95,110,409 285,331,228 142,665,614 71,332,807 213,998,422 106,999,211 320,997,634 160,498,817 481,496,452 240,748,226 120,374,113 361,122,340 180,561,170 90,280,585 270,841,756 135,420,878 67,710,439 203,131,318 101,565,659 304,696,978 152,348,489 457,045,468 228,522,734 114,261,367 342,784,102

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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