2⁷ × 3³ × 47 × 173

Prime Factor Structure

Factorization String 2^7 × 3^3 × 47 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 85,190,400

Proper Divisor Sum 57,089,664

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #28100719 ← → #28100741

1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 173 188 192 216 282 288 346 376 384 423 432 519 564 576 692 752 846 864 1,038 1,128 1,152 1,269 1,384 1,504 1,557 1,692 1,728 2,076 2,256 2,538 2,768 3,008 3,114 3,384 3,456

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

28,100,736 14,050,368 7,025,184 3,512,592 1,756,296 878,148 439,074 219,537 658,612 329,306 164,653 493,960 246,980 123,490 61,745 185,236 92,618 46,309 138,928 69,464 34,732 17,366 8,683 26,050 13,025 39,076 19,538 9,769 29,308 14,654 7,327 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713

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