3³ × 43 × 67

Prime Factor Structure

Factorization String 3^3 × 43 × 67

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 119,680

Proper Divisor Sum 41,893

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #77783 ← → #77797

1 3 9 27 43 67 129 201 387 603 1,161 1,809 2,881 8,643 25,929 77,787

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

77,787 233,362 116,681 350,044 175,022 87,511 262,534 131,267 393,802 196,901 590,704 295,352 147,676 73,838 36,919 110,758 55,379 166,138 83,069 249,208 124,604 62,302 31,151 93,454 46,727 140,182 70,091 210,274 105,137 315,412 157,706 78,853 236,560 118,280 59,140 29,570 14,785 44,356 22,178 11,089 33,268 16,634 8,317 24,952 12,476 6,238 3,119 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770

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