3³ × 5² × 7 × 1789

Prime Factor Structure

Factorization String 3^3 × 5^2 × 7 × 1789

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,756,800

Proper Divisor Sum 9,303,775

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8453021 ← → #8453041

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

8,453,025 25,359,076 12,679,538 6,339,769 19,019,308 9,509,654 4,754,827 14,264,482 7,132,241 21,396,724 10,698,362 5,349,181 16,047,544 8,023,772 4,011,886 2,005,943 6,017,830 3,008,915 9,026,746 4,513,373 13,540,120 6,770,060 3,385,030 1,692,515 5,077,546 2,538,773 7,616,320 3,808,160 1,904,080 952,040 476,020 238,010 119,005 357,016 178,508 89,254 44,627 133,882 66,941 200,824 100,412 50,206 25,103 75,310 37,655 112,966 56,483 169,450 84,725 254,176 127,088 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620

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