3⁵ × 5 × 7

Prime Factor Structure

Factorization String 3^5 × 5 × 7

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,472

Proper Divisor Sum 8,967

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8501 ← → #8513

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 945 1,215 1,701 2,835 8,505

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

8,505 25,516 12,758 6,379 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325

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