2³ × 3⁸ × 19

Prime Factor Structure

Factorization String 2^3 × 3^8 × 19

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,952,300

Proper Divisor Sum 1,955,028

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #997267 ← → #997273

1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 729 972 1,026 1,368 1,458 1,539 1,944 2,052 2,187 2,916 3,078 4,104 4,374 4,617 5,832 6,156 6,561 8,748 9,234 12,312 13,122 13,851 17,496 18,468 26,244 27,702

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

997,272 498,636 249,318 124,659 373,978 186,989 560,968 280,484 140,242 70,121 210,364 105,182 52,591 157,774 78,887 236,662 118,331 354,994 177,497 532,492 266,246 133,123 399,370 199,685 599,056 299,528 149,764 74,882 37,441 112,324 56,162 28,081 84,244 42,122 21,061 63,184 31,592 15,796 7,898 3,949 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176

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