2 × 3 × 13² × 23 × 31

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 23 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,686,528

Proper Divisor Sum 963,546

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #722977 ← → #722983

1 2 3 6 13 23 26 31 39 46 62 69 78 93 138 169 186 299 338 403 507 598 713 806 897 1,014 1,209 1,426 1,794 2,139 2,418 3,887 4,278 5,239 7,774 9,269 10,478 11,661 15,717 18,538 23,322 27,807 31,434 55,614 120,497 240,994 361,491 722,982

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

722,982 361,491 1,084,474 542,237 1,626,712 813,356 406,678 203,339 610,018 305,009 915,028 457,514 228,757 686,272 343,136 171,568 85,784 42,892 21,446 10,723 32,170 16,085 48,256 24,128 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 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 2,051 6,154 3,077 9,232 4,616

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