λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,850
17,850
2 × 3 × 52 × 7 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 17
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 53,568
Proper Divisor Sum 35,718
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #17839 ← → #17851

Radix Representation

Decimal 17850
Binary 100010110111010 (15 bits)
Octal 0o42672
Hexadecimal 0x45BA

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 17 21 25 30 34 35 42 50 51 70 75 85 102 105 119 150 170 175 210 238 255 350 357 425 510 525 595 714 850 1,050 1,190 1,275 1,785 2,550 2,975 3,570 5,950 8,925 17,850

Collatz Trajectory (97 steps to reach 1)

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

17,850 8,925 26,776 13,388 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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