λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,693,087
3,693,087
33 × 19 × 23 × 313
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 19 × 23 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,028,800
Proper Divisor Sum 2,335,713
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3693077 ← → #3693089

Radix Representation

Decimal 3693087
Binary 1110000101101000011111 (22 bits)
Octal 0o16055037
Hexadecimal 0x385A1F

Divisor Catalog (32)

1 3 9 19 23 27 57 69 171 207 313 437 513 621 939 1,311 2,817 3,933 5,947 7,199 8,451 11,799 17,841 21,597 53,523 64,791 136,781 160,569 194,373 410,343 1,231,029 3,693,087

Collatz Trajectory (164 steps to reach 1)

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

3,693,087 11,079,262 5,539,631 16,618,894 8,309,447 24,928,342 12,464,171 37,392,514 18,696,257 56,088,772 28,044,386 14,022,193 42,066,580 21,033,290 10,516,645 31,549,936 15,774,968 7,887,484 3,943,742 1,971,871 5,915,614 2,957,807 8,873,422 4,436,711 13,310,134 6,655,067 19,965,202 9,982,601 29,947,804 14,973,902 7,486,951 22,460,854 11,230,427 33,691,282 16,845,641 50,536,924 25,268,462 12,634,231 37,902,694 18,951,347 56,854,042 28,427,021 85,281,064 42,640,532 21,320,266 10,660,133 31,980,400 15,990,200 7,995,100 3,997,550 1,998,775 5,996,326 2,998,163 8,994,490 4,497,245 13,491,736 6,745,868 3,372,934 1,686,467 5,059,402

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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