λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,970,662
36,970,662
2 × 3 × 31 × 113 × 1759
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 31 × 113 × 1759
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 77,045,760
Proper Divisor Sum 40,075,098
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36970651 ← → #36970663

Radix Representation

Decimal 36970662
Binary 10001101000010000010100110 (26 bits)
Octal 0o215020246
Hexadecimal 0x23420A6

Divisor Catalog (32)

1 2 3 6 31 62 93 113 186 226 339 678 1,759 3,503 3,518 5,277 7,006 10,509 10,554 21,018 54,529 109,058 163,587 198,767 327,174 397,534 596,301 1,192,602 6,161,777 12,323,554 18,485,331 36,970,662

Collatz Trajectory (165 steps to reach 1)

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

36,970,662 18,485,331 55,455,994 27,727,997 83,183,992 41,591,996 20,795,998 10,397,999 31,193,998 15,596,999 46,790,998 23,395,499 70,186,498 35,093,249 105,279,748 52,639,874 26,319,937 78,959,812 39,479,906 19,739,953 59,219,860 29,609,930 14,804,965 44,414,896 22,207,448 11,103,724 5,551,862 2,775,931 8,327,794 4,163,897 12,491,692 6,245,846 3,122,923 9,368,770 4,684,385 14,053,156 7,026,578 3,513,289 10,539,868 5,269,934 2,634,967 7,904,902 3,952,451 11,857,354 5,928,677 17,786,032 8,893,016 4,446,508 2,223,254 1,111,627 3,334,882 1,667,441 5,002,324 2,501,162 1,250,581 3,751,744 1,875,872 937,936 468,968 234,484

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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