2 × 3 × 7² × 31 × 47

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 31 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,050,624

Proper Divisor Sum 622,266

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #428353 ← → #428369

1 2 3 6 7 14 21 31 42 47 49 62 93 94 98 141 147 186 217 282 294 329 434 651 658 987 1,302 1,457 1,519 1,974 2,303 2,914 3,038 4,371 4,557 4,606 6,909 8,742 9,114 10,199 13,818 20,398 30,597 61,194 71,393 142,786 214,179 428,358

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

428,358 214,179 642,538 321,269 963,808 481,904 240,952 120,476 60,238 30,119 90,358 45,179 135,538 67,769 203,308 101,654 50,827 152,482 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 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312

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