λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,788,264
41,788,264
23 × 7 × 47 × 15877
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 47 × 15877
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 91,457,280
Proper Divisor Sum 49,669,016
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #41788249 ← → #41788273

Radix Representation

Decimal 41788264
Binary 10011111011010001101101000 (26 bits)
Octal 0o237321550
Hexadecimal 0x27DA368

Divisor Catalog (32)

1 2 4 7 8 14 28 47 56 94 188 329 376 658 1,316 2,632 15,877 31,754 63,508 111,139 127,016 222,278 444,556 746,219 889,112 1,492,438 2,984,876 5,223,533 5,969,752 10,447,066 20,894,132 41,788,264

Collatz Trajectory (160 steps to reach 1)

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

41,788,264 20,894,132 10,447,066 5,223,533 15,670,600 7,835,300 3,917,650 1,958,825 5,876,476 2,938,238 1,469,119 4,407,358 2,203,679 6,611,038 3,305,519 9,916,558 4,958,279 14,874,838 7,437,419 22,312,258 11,156,129 33,468,388 16,734,194 8,367,097 25,101,292 12,550,646 6,275,323 18,825,970 9,412,985 28,238,956 14,119,478 7,059,739 21,179,218 10,589,609 31,768,828 15,884,414 7,942,207 23,826,622 11,913,311 35,739,934 17,869,967 53,609,902 26,804,951 80,414,854 40,207,427 120,622,282 60,311,141 180,933,424 90,466,712 45,233,356 22,616,678 11,308,339 33,925,018 16,962,509 50,887,528 25,443,764 12,721,882 6,360,941 19,082,824 9,541,412

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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