λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,399,326
8,399,326
2 × 13 × 17 × 31 × 613
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 17 × 31 × 613
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,853,888
Proper Divisor Sum 6,454,562
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8399317 ← → #8399381

Radix Representation

Decimal 8399326
Binary 100000000010100111011110 (24 bits)
Octal 0o40024736
Hexadecimal 0x8029DE

Divisor Catalog (32)

1 2 13 17 26 31 34 62 221 403 442 527 613 806 1,054 1,226 6,851 7,969 10,421 13,702 15,938 19,003 20,842 38,006 135,473 247,039 270,946 323,051 494,078 646,102 4,199,663 8,399,326

Collatz Trajectory (199 steps to reach 1)

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

8,399,326 4,199,663 12,598,990 6,299,495 18,898,486 9,449,243 28,347,730 14,173,865 42,521,596 21,260,798 10,630,399 31,891,198 15,945,599 47,836,798 23,918,399 71,755,198 35,877,599 107,632,798 53,816,399 161,449,198 80,724,599 242,173,798 121,086,899 363,260,698 181,630,349 544,891,048 272,445,524 136,222,762 68,111,381 204,334,144 102,167,072 51,083,536 25,541,768 12,770,884 6,385,442 3,192,721 9,578,164 4,789,082 2,394,541 7,183,624 3,591,812 1,795,906 897,953 2,693,860 1,346,930 673,465 2,020,396 1,010,198 505,099 1,515,298 757,649 2,272,948 1,136,474 568,237 1,704,712 852,356 426,178 213,089 639,268 319,634

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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