2³ × 3 × 5² × 503

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 503

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 937,440

Proper Divisor Sum 635,640

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #301793 ← → #301813

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 503 600 1,006 1,509 2,012 2,515 3,018 4,024 5,030 6,036 7,545 10,060 12,072 12,575 15,090 20,120 25,150 30,180 37,725 50,300 60,360 75,450 100,600 150,900 301,800

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

301,800 150,900 75,450 37,725 113,176 56,588 28,294 14,147 42,442 21,221 63,664 31,832 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924

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