3³ × 13² × 19

Prime Factor Structure

Factorization String 3^3 × 13^2 × 19

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 146,400

Proper Divisor Sum 59,703

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #86693 ← → #86711

1 3 9 13 19 27 39 57 117 169 171 247 351 507 513 741 1,521 2,223 3,211 4,563 6,669 9,633 28,899 86,697

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

86,697 260,092 130,046 65,023 195,070 97,535 292,606 146,303 438,910 219,455 658,366 329,183 987,550 493,775 1,481,326 740,663 2,221,990 1,110,995 3,332,986 1,666,493 4,999,480 2,499,740 1,249,870 624,935 1,874,806 937,403 2,812,210 1,406,105 4,218,316 2,109,158 1,054,579 3,163,738 1,581,869 4,745,608 2,372,804 1,186,402 593,201 1,779,604 889,802 444,901 1,334,704 667,352 333,676 166,838 83,419 250,258 125,129 375,388 187,694 93,847 281,542 140,771 422,314 211,157 633,472 316,736 158,368 79,184 39,592 19,796

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