2⁹ × 5² × 13 × 419

Prime Factor Structure

Factorization String 2^9 × 5^2 × 13 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 186,472,440

Proper Divisor Sum 116,750,840

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #69721591 ← → #69721601

1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 419 512 520 640 650 800 832 838 1,040 1,280 1,300 1,600 1,664 1,676 2,080 2,095 2,560 2,600 3,200 3,328 3,352 4,160 4,190 5,200 5,447 6,400 6,656 6,704 8,320

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

69,721,600 34,860,800 17,430,400 8,715,200 4,357,600 2,178,800 1,089,400 544,700 272,350 136,175 408,526 204,263 612,790 306,395 919,186 459,593 1,378,780 689,390 344,695 1,034,086 517,043 1,551,130 775,565 2,326,696 1,163,348 581,674 290,837 872,512 436,256 218,128 109,064 54,532 27,266 13,633 40,900 20,450 10,225 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051

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