3 × 7 × 11 × 503

Prime Factor Structure

Factorization String 3 × 7 × 11 × 503

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 193,536

Proper Divisor Sum 77,343

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #116191 ← → #116201

1 3 7 11 21 33 77 231 503 1,509 3,521 5,533 10,563 16,599 38,731 116,193

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

116,193 348,580 174,290 87,145 261,436 130,718 65,359 196,078 98,039 294,118 147,059 441,178 220,589 661,768 330,884 165,442 82,721 248,164 124,082 62,041 186,124 93,062 46,531 139,594 69,797 209,392 104,696 52,348 26,174 13,087 39,262 19,631 58,894 29,447 88,342 44,171 132,514 66,257 198,772 99,386 49,693 149,080 74,540 37,270 18,635 55,906 27,953 83,860 41,930 20,965 62,896 31,448 15,724 7,862 3,931 11,794 5,897 17,692 8,846 4,423

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