3³ × 37 × 509

Prime Factor Structure

Factorization String 3^3 × 37 × 509

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 775,200

Proper Divisor Sum 266,709

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #508489 ← → #508499

1 3 9 27 37 111 333 509 999 1,527 4,581 13,743 18,833 56,499 169,497 508,491

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

508,491 1,525,474 762,737 2,288,212 1,144,106 572,053 1,716,160 858,080 429,040 214,520 107,260 53,630 26,815 80,446 40,223 120,670 60,335 181,006 90,503 271,510 135,755 407,266 203,633 610,900 305,450 152,725 458,176 229,088 114,544 57,272 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539

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