3 × 5 × 7 × 23 × 349

Prime Factor Structure

Factorization String 3 × 5 × 7 × 23 × 349

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,612,800

Proper Divisor Sum 769,965

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #842819 ← → #842857

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

842,835 2,528,506 1,264,253 3,792,760 1,896,380 948,190 474,095 1,422,286 711,143 2,133,430 1,066,715 3,200,146 1,600,073 4,800,220 2,400,110 1,200,055 3,600,166 1,800,083 5,400,250 2,700,125 8,100,376 4,050,188 2,025,094 1,012,547 3,037,642 1,518,821 4,556,464 2,278,232 1,139,116 569,558 284,779 854,338 427,169 1,281,508 640,754 320,377 961,132 480,566 240,283 720,850 360,425 1,081,276 540,638 270,319 810,958 405,479 1,216,438 608,219 1,824,658 912,329 2,736,988 1,368,494 684,247 2,052,742 1,026,371 3,079,114 1,539,557 4,618,672 2,309,336 1,154,668

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