λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,388,342
26,388,342
2 × 38 × 2011
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^8 × 2011
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 59,400,276
Proper Divisor Sum 33,011,934
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #26388331 ← → #26388343

Radix Representation

Decimal 26388342
Binary 1100100101010011101110110 (25 bits)
Octal 0o144523566
Hexadecimal 0x192A776

Divisor Catalog (36)

1 2 3 6 9 18 27 54 81 162 243 486 729 1,458 2,011 2,187 4,022 4,374 6,033 6,561 12,066 13,122 18,099 36,198 54,297 108,594 162,891 325,782 488,673 977,346 1,466,019 2,932,038 4,398,057 8,796,114 13,194,171 26,388,342

Collatz Trajectory (242 steps to reach 1)

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

26,388,342 13,194,171 39,582,514 19,791,257 59,373,772 29,686,886 14,843,443 44,530,330 22,265,165 66,795,496 33,397,748 16,698,874 8,349,437 25,048,312 12,524,156 6,262,078 3,131,039 9,393,118 4,696,559 14,089,678 7,044,839 21,134,518 10,567,259 31,701,778 15,850,889 47,552,668 23,776,334 11,888,167 35,664,502 17,832,251 53,496,754 26,748,377 80,245,132 40,122,566 20,061,283 60,183,850 30,091,925 90,275,776 45,137,888 22,568,944 11,284,472 5,642,236 2,821,118 1,410,559 4,231,678 2,115,839 6,347,518 3,173,759 9,521,278 4,760,639 14,281,918 7,140,959 21,422,878 10,711,439 32,134,318 16,067,159 48,201,478 24,100,739 72,302,218 36,151,109

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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