3³ × 7² × 11 × 37

Prime Factor Structure

Factorization String 3^3 × 7^2 × 11 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,039,680

Proper Divisor Sum 501,219

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #538457 ← → #538471

1 3 7 9 11 21 27 33 37 49 63 77 99 111 147 189 231 259 297 333 407 441 539 693 777 999 1,221 1,323 1,617 1,813 2,079 2,331 2,849 3,663 4,851 5,439 6,993 8,547 10,989 14,553 16,317 19,943 25,641 48,951 59,829 76,923 179,487 538,461

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

538,461 1,615,384 807,692 403,846 201,923 605,770 302,885 908,656 454,328 227,164 113,582 56,791 170,374 85,187 255,562 127,781 383,344 191,672 95,836 47,918 23,959 71,878 35,939 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503

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