2⁴ × 5² × 13² × 149

Prime Factor Structure

Factorization String 2^4 × 5^2 × 13^2 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 26,379,450

Proper Divisor Sum 16,307,050

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #10072393 ← → #10072409

1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 149 169 200 208 260 298 325 338 400 520 596 650 676 745 845 1,040 1,192 1,300 1,352 1,490 1,690 1,937 2,384 2,600 2,704 2,980 3,380 3,725 3,874 4,225 5,200 5,960 6,760 7,450 7,748 8,450 9,685 11,920 13,520 14,900 15,496

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

10,072,400 5,036,200 2,518,100 1,259,050 629,525 1,888,576 944,288 472,144 236,072 118,036 59,018 29,509 88,528 44,264 22,132 11,066 5,533 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970

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