2 × 3³ × 5² × 31

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 119,040

Proper Divisor Sum 77,190

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #41849 ← → #41851

Radix Representation

Decimal	41850
Binary	1010001101111010 (16 bits)
Octal	0o121572
Hexadecimal	0xA37A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 90 93 135 150 155 186 225 270 279 310 450 465 558 675 775 837 930 1,350 1,395 1,550 1,674 2,325 2,790 4,185 4,650 6,975 8,370 13,950 20,925 41,850

Collatz Trajectory (132 steps to reach 1)

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

41,850 20,925 62,776 31,388 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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