2 × 3⁴ × 13 × 37

Prime Factor Structure

Factorization String 2 × 3^4 × 13 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 193,116

Proper Divisor Sum 115,194

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #77899 ← → #77929

1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 222 234 333 351 481 666 702 962 999 1,053 1,443 1,998 2,106 2,886 2,997 4,329 5,994 8,658 12,987 25,974 38,961 77,922

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

77,922 38,961 116,884 58,442 29,221 87,664 43,832 21,916 10,958 5,479 16,438 8,219 24,658 12,329 36,988 18,494 9,247 27,742 13,871 41,614 20,807 62,422 31,211 93,634 46,817 140,452 70,226 35,113 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800

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