λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,505,180
67,505,180
22 × 5 × 67 × 50377
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 67 × 50377
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 143,879,568
Proper Divisor Sum 76,374,388
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #67505171 ← → #67505189

Radix Representation

Decimal 67505180
Binary 100000001100000110000011100 (27 bits)
Octal 0o401406034
Hexadecimal 0x4060C1C

Divisor Catalog (24)

1 2 4 5 10 20 67 134 268 335 670 1,340 50,377 100,754 201,508 251,885 503,770 1,007,540 3,375,259 6,750,518 13,501,036 16,876,295 33,752,590 67,505,180

Collatz Trajectory (277 steps to reach 1)

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

67,505,180 33,752,590 16,876,295 50,628,886 25,314,443 75,943,330 37,971,665 113,914,996 56,957,498 28,478,749 85,436,248 42,718,124 21,359,062 10,679,531 32,038,594 16,019,297 48,057,892 24,028,946 12,014,473 36,043,420 18,021,710 9,010,855 27,032,566 13,516,283 40,548,850 20,274,425 60,823,276 30,411,638 15,205,819 45,617,458 22,808,729 68,426,188 34,213,094 17,106,547 51,319,642 25,659,821 76,979,464 38,489,732 19,244,866 9,622,433 28,867,300 14,433,650 7,216,825 21,650,476 10,825,238 5,412,619 16,237,858 8,118,929 24,356,788 12,178,394 6,089,197 18,267,592 9,133,796 4,566,898 2,283,449 6,850,348 3,425,174 1,712,587 5,137,762 2,568,881

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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