3³ × 5 × 7³

Prime Factor Structure

Factorization String 3^3 × 5 × 7^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 96,000

Proper Divisor Sum 49,695

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #46301 ← → #46307

1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 343 441 735 945 1,029 1,323 1,715 2,205 3,087 5,145 6,615 9,261 15,435 46,305

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

46,305 138,916 69,458 34,729 104,188 52,094 26,047 78,142 39,071 117,214 58,607 175,822 87,911 263,734 131,867 395,602 197,801 593,404 296,702 148,351 445,054 222,527 667,582 333,791 1,001,374 500,687 1,502,062 751,031 2,253,094 1,126,547 3,379,642 1,689,821 5,069,464 2,534,732 1,267,366 633,683 1,901,050 950,525 2,851,576 1,425,788 712,894 356,447 1,069,342 534,671 1,604,014 802,007 2,406,022 1,203,011 3,609,034 1,804,517 5,413,552 2,706,776 1,353,388 676,694 338,347 1,015,042 507,521 1,522,564 761,282 380,641

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