2³ × 13 × 29 × 47 × 293

Prime Factor Structure

Factorization String 2^3 × 13 × 29 × 47 × 293

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 88,905,600

Proper Divisor Sum 47,372,264

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #41533333 ← → #41533343

1 2 4 8 13 26 29 47 52 58 94 104 116 188 232 293 376 377 586 611 754 1,172 1,222 1,363 1,508 2,344 2,444 2,726 3,016 3,809 4,888 5,452 7,618 8,497 10,904 13,771 15,236 16,994 17,719 27,542 30,472 33,988 35,438 55,084 67,976 70,876 110,168 110,461 141,752 179,023 220,922 358,046 399,359 441,844 716,092 798,718 883,688 1,432,184 1,597,436 3,194,872

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

41,533,336 20,766,668 10,383,334 5,191,667 15,575,002 7,787,501 23,362,504 11,681,252 5,840,626 2,920,313 8,760,940 4,380,470 2,190,235 6,570,706 3,285,353 9,856,060 4,928,030 2,464,015 7,392,046 3,696,023 11,088,070 5,544,035 16,632,106 8,316,053 24,948,160 12,474,080 6,237,040 3,118,520 1,559,260 779,630 389,815 1,169,446 584,723 1,754,170 877,085 2,631,256 1,315,628 657,814 328,907 986,722 493,361 1,480,084 740,042 370,021 1,110,064 555,032 277,516 138,758 69,379 208,138 104,069 312,208 156,104 78,052 39,026 19,513 58,540 29,270 14,635 43,906

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