λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,201,628
8,201,628
22 × 33 × 75941
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 75941
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,263,760
Proper Divisor Sum 13,062,132
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8201621 ← → #8201647

Radix Representation

Decimal 8201628
Binary 11111010010010110011100 (23 bits)
Octal 0o37222634
Hexadecimal 0x7D259C

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 75,941 151,882 227,823 303,764 455,646 683,469 911,292 1,366,938 2,050,407 2,733,876 4,100,814 8,201,628

Collatz Trajectory (191 steps to reach 1)

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

8,201,628 4,100,814 2,050,407 6,151,222 3,075,611 9,226,834 4,613,417 13,840,252 6,920,126 3,460,063 10,380,190 5,190,095 15,570,286 7,785,143 23,355,430 11,677,715 35,033,146 17,516,573 52,549,720 26,274,860 13,137,430 6,568,715 19,706,146 9,853,073 29,559,220 14,779,610 7,389,805 22,169,416 11,084,708 5,542,354 2,771,177 8,313,532 4,156,766 2,078,383 6,235,150 3,117,575 9,352,726 4,676,363 14,029,090 7,014,545 21,043,636 10,521,818 5,260,909 15,782,728 7,891,364 3,945,682 1,972,841 5,918,524 2,959,262 1,479,631 4,438,894 2,219,447 6,658,342 3,329,171 9,987,514 4,993,757 14,981,272 7,490,636 3,745,318 1,872,659

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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