3 × 13² × 509

Prime Factor Structure

Factorization String 3 × 13^2 × 509

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 373,320

Proper Divisor Sum 115,257

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #258061 ← → #258067

1 3 13 39 169 507 509 1,527 6,617 19,851 86,021 258,063

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

258,063 774,190 387,095 1,161,286 580,643 1,741,930 870,965 2,612,896 1,306,448 653,224 326,612 163,306 81,653 244,960 122,480 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841

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