3³ × 13² × 17

Prime Factor Structure

Factorization String 3^3 × 13^2 × 17

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 131,760

Proper Divisor Sum 54,189

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #77569 ← → #77573

1 3 9 13 17 27 39 51 117 153 169 221 351 459 507 663 1,521 1,989 2,873 4,563 5,967 8,619 25,857 77,571

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

77,571 232,714 116,357 349,072 174,536 87,268 43,634 21,817 65,452 32,726 16,363 49,090 24,545 73,636 36,818 18,409 55,228 27,614 13,807 41,422 20,711 62,134 31,067 93,202 46,601 139,804 69,902 34,951 104,854 52,427 157,282 78,641 235,924 117,962 58,981 176,944 88,472 44,236 22,118 11,059 33,178 16,589 49,768 24,884 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956

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