3² × 7 × 11 × 13 × 73

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 13 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,292,928

Proper Divisor Sum 635,271

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #657653 ← → #657659

1 3 7 9 11 13 21 33 39 63 73 77 91 99 117 143 219 231 273 429 511 657 693 803 819 949 1,001 1,287 1,533 2,409 2,847 3,003 4,599 5,621 6,643 7,227 8,541 9,009 10,439 16,863 19,929 31,317 50,589 59,787 73,073 93,951 219,219 657,657

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

657,657 1,972,972 986,486 493,243 1,479,730 739,865 2,219,596 1,109,798 554,899 1,664,698 832,349 2,497,048 1,248,524 624,262 312,131 936,394 468,197 1,404,592 702,296 351,148 175,574 87,787 263,362 131,681 395,044 197,522 98,761 296,284 148,142 74,071 222,214 111,107 333,322 166,661 499,984 249,992 124,996 62,498 31,249 93,748 46,874 23,437 70,312 35,156 17,578 8,789 26,368 13,184 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700

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