2² × 3³ × 7² × 379

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7^2 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 6,064,800

Proper Divisor Sum 4,059,132

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2005667 ← → #2005673

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 379 441 588 756 758 882 1,137 1,323 1,516 1,764 2,274 2,646 2,653 3,411 4,548 5,292 5,306 6,822 7,959 10,233 10,612 13,644 15,918 18,571 20,466 23,877 31,836 37,142 40,932 47,754 55,713 71,631

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

2,005,668 1,002,834 501,417 1,504,252 752,126 376,063 1,128,190 564,095 1,692,286 846,143 2,538,430 1,269,215 3,807,646 1,903,823 5,711,470 2,855,735 8,567,206 4,283,603 12,850,810 6,425,405 19,276,216 9,638,108 4,819,054 2,409,527 7,228,582 3,614,291 10,842,874 5,421,437 16,264,312 8,132,156 4,066,078 2,033,039 6,099,118 3,049,559 9,148,678 4,574,339 13,723,018 6,861,509 20,584,528 10,292,264 5,146,132 2,573,066 1,286,533 3,859,600 1,929,800 964,900 482,450 241,225 723,676 361,838 180,919 542,758 271,379 814,138 407,069 1,221,208 610,604 305,302 152,651 457,954

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