3³ × 7² × 17 × 31

Prime Factor Structure

Factorization String 3^3 × 7^2 × 17 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,313,280

Proper Divisor Sum 616,059

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #697217 ← → #697259

1 3 7 9 17 21 27 31 49 51 63 93 119 147 153 189 217 279 357 441 459 527 651 833 837 1,071 1,323 1,519 1,581 1,953 2,499 3,213 3,689 4,557 4,743 5,859 7,497 11,067 13,671 14,229 22,491 25,823 33,201 41,013 77,469 99,603 232,407 697,221

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

697,221 2,091,664 1,045,832 522,916 261,458 130,729 392,188 196,094 98,047 294,142 147,071 441,214 220,607 661,822 330,911 992,734 496,367 1,489,102 744,551 2,233,654 1,116,827 3,350,482 1,675,241 5,025,724 2,512,862 1,256,431 3,769,294 1,884,647 5,653,942 2,826,971 8,480,914 4,240,457 12,721,372 6,360,686 3,180,343 9,541,030 4,770,515 14,311,546 7,155,773 21,467,320 10,733,660 5,366,830 2,683,415 8,050,246 4,025,123 12,075,370 6,037,685 18,113,056 9,056,528 4,528,264 2,264,132 1,132,066 566,033 1,698,100 849,050 424,525 1,273,576 636,788 318,394 159,197

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