2³ × 5³ × 7 × 59

Prime Factor Structure

Factorization String 2^3 × 5^3 × 7 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,123,200

Proper Divisor Sum 710,200

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #412987 ← → #413009

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 59 70 100 118 125 140 175 200 236 250 280 295 350 413 472 500 590 700 826 875 1,000 1,180 1,400 1,475 1,652 1,750 2,065 2,360 2,950 3,304 3,500 4,130 5,900 7,000 7,375 8,260 10,325 11,800 14,750 16,520 20,650 29,500 41,300 51,625 59,000

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

413,000 206,500 103,250 51,625 154,876 77,438 38,719 116,158 58,079 174,238 87,119 261,358 130,679 392,038 196,019 588,058 294,029 882,088 441,044 220,522 110,261 330,784 165,392 82,696 41,348 20,674 10,337 31,012 15,506 7,753 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437

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