3² × 7 × 19 × 349

Prime Factor Structure

Factorization String 3^2 × 7 × 19 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 728,000

Proper Divisor Sum 310,247

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #417751 ← → #417763

1 3 7 9 19 21 57 63 133 171 349 399 1,047 1,197 2,443 3,141 6,631 7,329 19,893 21,987 46,417 59,679 139,251 417,753

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

417,753 1,253,260 626,630 313,315 939,946 469,973 1,409,920 704,960 352,480 176,240 88,120 44,060 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74

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