3 × 11² × 13 × 73

Prime Factor Structure

Factorization String 3 × 11^2 × 13 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 551,152

Proper Divisor Sum 206,665

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #344483 ← → #344497

1 3 11 13 33 39 73 121 143 219 363 429 803 949 1,573 2,409 2,847 4,719 8,833 10,439 26,499 31,317 114,829 344,487

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

344,487 1,033,462 516,731 1,550,194 775,097 2,325,292 1,162,646 581,323 1,743,970 871,985 2,615,956 1,307,978 653,989 1,961,968 980,984 490,492 245,246 122,623 367,870 183,935 551,806 275,903 827,710 413,855 1,241,566 620,783 1,862,350 931,175 2,793,526 1,396,763 4,190,290 2,095,145 6,285,436 3,142,718 1,571,359 4,714,078 2,357,039 7,071,118 3,535,559 10,606,678 5,303,339 15,910,018 7,955,009 23,865,028 11,932,514 5,966,257 17,898,772 8,949,386 4,474,693 13,424,080 6,712,040 3,356,020 1,678,010 839,005 2,517,016 1,258,508 629,254 314,627 943,882 471,941

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