7³ × 31 × 43

Prime Factor Structure

Factorization String 7^3 × 31 × 43

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 563,200

Proper Divisor Sum 105,981

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #457213 ← → #457229

1 7 31 43 49 217 301 343 1,333 1,519 2,107 9,331 10,633 14,749 65,317 457,219

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

457,219 1,371,658 685,829 2,057,488 1,028,744 514,372 257,186 128,593 385,780 192,890 96,445 289,336 144,668 72,334 36,167 108,502 54,251 162,754 81,377 244,132 122,066 61,033 183,100 91,550 45,775 137,326 68,663 205,990 102,995 308,986 154,493 463,480 231,740 115,870 57,935 173,806 86,903 260,710 130,355 391,066 195,533 586,600 293,300 146,650 73,325 219,976 109,988 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408

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