2⁴ × 3 × 5² × 29

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 115,320

Proper Divisor Sum 80,520

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #34781 ← → #34807

1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1,160 1,200 1,392 1,450 1,740 2,175 2,320 2,900 3,480 4,350 5,800 6,960 8,700 11,600 17,400 34,800

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

34,800 17,400 8,700 4,350 2,175 6,526 3,263 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37

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