2 × 3 × 7³ × 19²

Prime Factor Structure

Factorization String 2 × 3 × 7^3 × 19^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,828,800

Proper Divisor Sum 1,085,862

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #742913 ← → #742943

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

742,938 371,469 1,114,408 557,204 278,602 139,301 417,904 208,952 104,476 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 8,381 25,144 12,572 6,286 3,143 9,430 4,715

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