2³ × 5 × 7² × 37

Prime Factor Structure

Factorization String 2^3 × 5 × 7^2 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 194,940

Proper Divisor Sum 122,420

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #72503 ← → #72533

1 2 4 5 7 8 10 14 20 28 35 37 40 49 56 70 74 98 140 148 185 196 245 259 280 296 370 392 490 518 740 980 1,036 1,295 1,480 1,813 1,960 2,072 2,590 3,626 5,180 7,252 9,065 10,360 14,504 18,130 36,260 72,520

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

72,520 36,260 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418

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