3⁸ × 7

Prime Factor Structure

Factorization String 3^8 × 7

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 78,728

Proper Divisor Sum 32,801

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #45893 ← → #45943

1 3 7 9 21 27 63 81 189 243 567 729 1,701 2,187 5,103 6,561 15,309 45,927

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

45,927 137,782 68,891 206,674 103,337 310,012 155,006 77,503 232,510 116,255 348,766 174,383 523,150 261,575 784,726 392,363 1,177,090 588,545 1,765,636 882,818 441,409 1,324,228 662,114 331,057 993,172 496,586 248,293 744,880 372,440 186,220 93,110 46,555 139,666 69,833 209,500 104,750 52,375 157,126 78,563 235,690 117,845 353,536 176,768 88,384 44,192 22,096 11,048 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292

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