3 × 5 × 7 × 17 × 19²

Prime Factor Structure

Factorization String 3 × 5 × 7 × 17 × 19^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,316,736

Proper Divisor Sum 672,351

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #644383 ← → #644401

1 3 5 7 15 17 19 21 35 51 57 85 95 105 119 133 255 285 323 357 361 399 595 665 969 1,083 1,615 1,785 1,805 1,995 2,261 2,527 4,845 5,415 6,137 6,783 7,581 11,305 12,635 18,411 30,685 33,915 37,905 42,959 92,055 128,877 214,795 644,385

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

644,385 1,933,156 966,578 483,289 1,449,868 724,934 362,467 1,087,402 543,701 1,631,104 815,552 407,776 203,888 101,944 50,972 25,486 12,743 38,230 19,115 57,346 28,673 86,020 43,010 21,505 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102

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