λ
Ratio Atlas
Atlas › Integer Profiles › Node 54,123,748
54,123,748
22 × 7 × 37 × 89 × 587
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 37 × 89 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 112,613,760
Proper Divisor Sum 58,490,012
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #54123721 ← → #54123749

Radix Representation

Decimal 54123748
Binary 11001110011101110011100100 (26 bits)
Octal 0o316356344
Hexadecimal 0x339DCE4

Divisor Catalog (48)

1 2 4 7 14 28 37 74 89 148 178 259 356 518 587 623 1,036 1,174 1,246 2,348 2,492 3,293 4,109 6,586 8,218 13,172 16,436 21,719 23,051 43,438 46,102 52,243 86,876 92,204 104,486 152,033 208,972 304,066 365,701 608,132 731,402 1,462,804 1,932,991 3,865,982 7,731,964 13,530,937 27,061,874 54,123,748

Collatz Trajectory (225 steps to reach 1)

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

54,123,748 27,061,874 13,530,937 40,592,812 20,296,406 10,148,203 30,444,610 15,222,305 45,666,916 22,833,458 11,416,729 34,250,188 17,125,094 8,562,547 25,687,642 12,843,821 38,531,464 19,265,732 9,632,866 4,816,433 14,449,300 7,224,650 3,612,325 10,836,976 5,418,488 2,709,244 1,354,622 677,311 2,031,934 1,015,967 3,047,902 1,523,951 4,571,854 2,285,927 6,857,782 3,428,891 10,286,674 5,143,337 15,430,012 7,715,006 3,857,503 11,572,510 5,786,255 17,358,766 8,679,383 26,038,150 13,019,075 39,057,226 19,528,613 58,585,840 29,292,920 14,646,460 7,323,230 3,661,615 10,984,846 5,492,423 16,477,270 8,238,635 24,715,906 12,357,953

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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