2⁶ × 5³ × 7 × 557

Prime Factor Structure

Factorization String 2^6 × 5^3 × 7 × 557

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 88,440,768

Proper Divisor Sum 57,248,768

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #31191997 ← → #31192009

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 557 560 700 800 875 1,000 1,114 1,120 1,400 1,600 1,750 2,000 2,228 2,240 2,785 2,800 3,500 3,899 4,000 4,456 5,570 5,600 7,000 7,798 8,000

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

31,192,000 15,596,000 7,798,000 3,899,000 1,949,500 974,750 487,375 1,462,126 731,063 2,193,190 1,096,595 3,289,786 1,644,893 4,934,680 2,467,340 1,233,670 616,835 1,850,506 925,253 2,775,760 1,387,880 693,940 346,970 173,485 520,456 260,228 130,114 65,057 195,172 97,586 48,793 146,380 73,190 36,595 109,786 54,893 164,680 82,340 41,170 20,585 61,756 30,878 15,439 46,318 23,159 69,478 34,739 104,218 52,109 156,328 78,164 39,082 19,541 58,624 29,312 14,656 7,328 3,664 1,832 916

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