3³ × 5 × 7 × 19 × 41

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 19 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,612,800

Proper Divisor Sum 876,645

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #736147 ← → #736159

1 3 5 7 9 15 19 21 27 35 41 45 57 63 95 105 123 133 135 171 189 205 285 287 315 369 399 513 615 665 779 855 861 945 1,107 1,197 1,435 1,845 1,995 2,337 2,565 2,583 3,591 3,895 4,305 5,453 5,535 5,985 7,011 7,749 11,685 12,915 16,359 17,955 21,033 27,265 35,055 38,745 49,077 81,795

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

736,155 2,208,466 1,104,233 3,312,700 1,656,350 828,175 2,484,526 1,242,263 3,726,790 1,863,395 5,590,186 2,795,093 8,385,280 4,192,640 2,096,320 1,048,160 524,080 262,040 131,020 65,510 32,755 98,266 49,133 147,400 73,700 36,850 18,425 55,276 27,638 13,819 41,458 20,729 62,188 31,094 15,547 46,642 23,321 69,964 34,982 17,491 52,474 26,237 78,712 39,356 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021

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