λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,697,875
3,697,875
32 × 53 × 19 × 173
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^3 × 19 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,057,440
Proper Divisor Sum 3,359,565
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3697867 ← → #3697907

Radix Representation

Decimal 3697875
Binary 1110000110110011010011 (22 bits)
Octal 0o16066323
Hexadecimal 0x386CD3

Divisor Catalog (48)

1 3 5 9 15 19 25 45 57 75 95 125 171 173 225 285 375 475 519 855 865 1,125 1,425 1,557 2,375 2,595 3,287 4,275 4,325 7,125 7,785 9,861 12,975 16,435 21,375 21,625 29,583 38,925 49,305 64,875 82,175 147,915 194,625 246,525 410,875 739,575 1,232,625 3,697,875

Collatz Trajectory (216 steps to reach 1)

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

3,697,875 11,093,626 5,546,813 16,640,440 8,320,220 4,160,110 2,080,055 6,240,166 3,120,083 9,360,250 4,680,125 14,040,376 7,020,188 3,510,094 1,755,047 5,265,142 2,632,571 7,897,714 3,948,857 11,846,572 5,923,286 2,961,643 8,884,930 4,442,465 13,327,396 6,663,698 3,331,849 9,995,548 4,997,774 2,498,887 7,496,662 3,748,331 11,244,994 5,622,497 16,867,492 8,433,746 4,216,873 12,650,620 6,325,310 3,162,655 9,487,966 4,743,983 14,231,950 7,115,975 21,347,926 10,673,963 32,021,890 16,010,945 48,032,836 24,016,418 12,008,209 36,024,628 18,012,314 9,006,157 27,018,472 13,509,236 6,754,618 3,377,309 10,131,928 5,065,964

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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