2 × 3⁴ × 5 × 503

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 503

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 1,097,712

Proper Divisor Sum 690,282

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #407401 ← → #407437

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 503 810 1,006 1,509 2,515 3,018 4,527 5,030 7,545 9,054 13,581 15,090 22,635 27,162 40,743 45,270 67,905 81,486 135,810 203,715 407,430

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

407,430 203,715 611,146 305,573 916,720 458,360 229,180 114,590 57,295 171,886 85,943 257,830 128,915 386,746 193,373 580,120 290,060 145,030 72,515 217,546 108,773 326,320 163,160 81,580 40,790 20,395 61,186 30,593 91,780 45,890 22,945 68,836 34,418 17,209 51,628 25,814 12,907 38,722 19,361 58,084 29,042 14,521 43,564 21,782 10,891 32,674 16,337 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 5,170 2,585

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