3³ × 5² × 7² × 19

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,413,600

Proper Divisor Sum 785,175

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #628423 ← → #628427

1 3 5 7 9 15 19 21 25 27 35 45 49 57 63 75 95 105 133 135 147 171 175 189 225 245 285 315 399 441 475 513 525 665 675 735 855 931 945 1,197 1,225 1,323 1,425 1,575 1,995 2,205 2,565 2,793 3,325 3,591 3,675 4,275 4,655 4,725 5,985 6,615 8,379 9,975 11,025 12,825

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

628,425 1,885,276 942,638 471,319 1,413,958 706,979 2,120,938 1,060,469 3,181,408 1,590,704 795,352 397,676 198,838 99,419 298,258 149,129 447,388 223,694 111,847 335,542 167,771 503,314 251,657 754,972 377,486 188,743 566,230 283,115 849,346 424,673 1,274,020 637,010 318,505 955,516 477,758 238,879 716,638 358,319 1,074,958 537,479 1,612,438 806,219 2,418,658 1,209,329 3,627,988 1,813,994 906,997 2,720,992 1,360,496 680,248 340,124 170,062 85,031 255,094 127,547 382,642 191,321 573,964 286,982 143,491

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