2³ × 3³ × 29 × 149

Prime Factor Structure

Factorization String 2^3 × 3^3 × 29 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,700,000

Proper Divisor Sum 1,766,664

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #933329 ← → #933349

1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 149 174 216 232 261 298 348 447 522 596 696 783 894 1,044 1,192 1,341 1,566 1,788 2,088 2,682 3,132 3,576 4,023 4,321 5,364 6,264 8,046 8,642 10,728 12,963 16,092 17,284 25,926 32,184 34,568 38,889 51,852 77,778 103,704 116,667 155,556

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

933,336 466,668 233,334 116,667 350,002 175,001 525,004 262,502 131,251 393,754 196,877 590,632 295,316 147,658 73,829 221,488 110,744 55,372 27,686 13,843 41,530 20,765 62,296 31,148 15,574 7,787 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923

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