2⁷ × 3² × 29 × 311

Prime Factor Structure

Factorization String 2^7 × 3^2 × 29 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 31,028,400

Proper Divisor Sum 20,638,512

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #10389881 ← → #10389889

1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 311 348 384 464 522 576 622 696 928 933 1,044 1,152 1,244 1,392 1,856 1,866 2,088 2,488 2,784 2,799 3,712 3,732 4,176 4,976 5,568 5,598 7,464 8,352 9,019 9,952 11,136 11,196

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

10,389,888 5,194,944 2,597,472 1,298,736 649,368 324,684 162,342 81,171 243,514 121,757 365,272 182,636 91,318 45,659 136,978 68,489 205,468 102,734 51,367 154,102 77,051 231,154 115,577 346,732 173,366 86,683 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111 2,499,334 1,249,667 3,749,002 1,874,501 5,623,504 2,811,752 1,405,876 702,938 351,469 1,054,408 527,204 263,602 131,801 395,404

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