2⁴ × 5 × 7 × 13 × 1409

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 13 × 1409

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 29,373,120

Proper Divisor Sum 19,115,600

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #10257509 ← → #10257529

1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1,040 1,409 1,456 1,820 2,818 3,640 5,636 7,045 7,280 9,863 11,272 14,090 18,317 19,726 22,544 28,180 36,634 39,452 49,315 56,360 73,268 78,904 91,585 98,630 112,720

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

10,257,520 5,128,760 2,564,380 1,282,190 641,095 1,923,286 961,643 2,884,930 1,442,465 4,327,396 2,163,698 1,081,849 3,245,548 1,622,774 811,387 2,434,162 1,217,081 3,651,244 1,825,622 912,811 2,738,434 1,369,217 4,107,652 2,053,826 1,026,913 3,080,740 1,540,370 770,185 2,310,556 1,155,278 577,639 1,732,918 866,459 2,599,378 1,299,689 3,899,068 1,949,534 974,767 2,924,302 1,462,151 4,386,454 2,193,227 6,579,682 3,289,841 9,869,524 4,934,762 2,467,381 7,402,144 3,701,072 1,850,536 925,268 462,634 231,317 693,952 346,976 173,488 86,744 43,372 21,686 10,843

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