2⁴ × 5² × 7 × 9769

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 9769

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 75,111,760

Proper Divisor Sum 47,758,560

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #27353149 ← → #27353213

1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1,400 2,800 9,769 19,538 39,076 48,845 68,383 78,152 97,690 136,766 156,304 195,380 244,225 273,532 341,915 390,760 488,450 547,064 683,830 781,520 976,900 1,094,128 1,367,660 1,709,575 1,953,800 2,735,320 3,419,150 3,907,600 5,470,640 6,838,300 13,676,600 27,353,200

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

27,353,200 13,676,600 6,838,300 3,419,150 1,709,575 5,128,726 2,564,363 7,693,090 3,846,545 11,539,636 5,769,818 2,884,909 8,654,728 4,327,364 2,163,682 1,081,841 3,245,524 1,622,762 811,381 2,434,144 1,217,072 608,536 304,268 152,134 76,067 228,202 114,101 342,304 171,152 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823

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