3 × 11² × 23 × 47

Prime Factor Structure

Factorization String 3 × 11^2 × 23 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 612,864

Proper Divisor Sum 220,461

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #392389 ← → #392423

1 3 11 23 33 47 69 121 141 253 363 517 759 1,081 1,551 2,783 3,243 5,687 8,349 11,891 17,061 35,673 130,801 392,403

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

392,403 1,177,210 588,605 1,765,816 882,908 441,454 220,727 662,182 331,091 993,274 496,637 1,489,912 744,956 372,478 186,239 558,718 279,359 838,078 419,039 1,257,118 628,559 1,885,678 942,839 2,828,518 1,414,259 4,242,778 2,121,389 6,364,168 3,182,084 1,591,042 795,521 2,386,564 1,193,282 596,641 1,789,924 894,962 447,481 1,342,444 671,222 335,611 1,006,834 503,417 1,510,252 755,126 377,563 1,132,690 566,345 1,699,036 849,518 424,759 1,274,278 637,139 1,911,418 955,709 2,867,128 1,433,564 716,782 358,391 1,075,174 537,587

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