3 × 7⁴ × 31

Prime Factor Structure

Factorization String 3 × 7^4 × 31

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 358,528

Proper Divisor Sum 135,235

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #223291 ← → #223303

1 3 7 21 31 49 93 147 217 343 651 1,029 1,519 2,401 4,557 7,203 10,633 31,899 74,431 223,293

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

223,293 669,880 334,940 167,470 83,735 251,206 125,603 376,810 188,405 565,216 282,608 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834 1,417

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