2² × 3² × 7 × 1747

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 1747

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,272,544

Proper Divisor Sum 832,300

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #440239 ← → #440261

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1,747 3,494 5,241 6,988 10,482 12,229 15,723 20,964 24,458 31,446 36,687 48,916 62,892 73,374 110,061 146,748 220,122 440,244

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

440,244 220,122 110,061 330,184 165,092 82,546 41,273 123,820 61,910 30,955 92,866 46,433 139,300 69,650 34,825 104,476 52,238 26,119 78,358 39,179 117,538 58,769 176,308 88,154 44,077 132,232 66,116 33,058 16,529 49,588 24,794 12,397 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 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

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