2³ × 7 × 17 × 89 × 101

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 89 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 19,828,800

Proper Divisor Sum 11,271,272

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8557489 ← → #8557529

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

8,557,528 4,278,764 2,139,382 1,069,691 3,209,074 1,604,537 4,813,612 2,406,806 1,203,403 3,610,210 1,805,105 5,415,316 2,707,658 1,353,829 4,061,488 2,030,744 1,015,372 507,686 253,843 761,530 380,765 1,142,296 571,148 285,574 142,787 428,362 214,181 642,544 321,272 160,636 80,318 40,159 120,478 60,239 180,718 90,359 271,078 135,539 406,618 203,309 609,928 304,964 152,482 76,241 228,724 114,362 57,181 171,544 85,772 42,886 21,443 64,330 32,165 96,496 48,248 24,124 12,062 6,031 18,094 9,047

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