2⁵ × 7² × 11 × 29

Prime Factor Structure

Factorization String 2^5 × 7^2 × 11 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,292,760

Proper Divisor Sum 792,568

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #500179 ← → #500197

1 2 4 7 8 11 14 16 22 28 29 32 44 49 56 58 77 88 98 112 116 154 176 196 203 224 232 308 319 352 392 406 464 539 616 638 784 812 928 1,078 1,232 1,276 1,421 1,568 1,624 2,156 2,233 2,464 2,552 2,842 3,248 4,312 4,466 5,104 5,684 6,496 8,624 8,932 10,208 11,368

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

500,192 250,096 125,048 62,524 31,262 15,631 46,894 23,447 70,342 35,171 105,514 52,757 158,272 79,136 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

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