3³ × 7 × 37 × 59

Prime Factor Structure

Factorization String 3^3 × 7 × 37 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 729,600

Proper Divisor Sum 317,013

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #412571 ← → #412589

1 3 7 9 21 27 37 59 63 111 177 189 259 333 413 531 777 999 1,239 1,593 2,183 2,331 3,717 6,549 6,993 11,151 15,281 19,647 45,843 58,941 137,529 412,587

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

412,587 1,237,762 618,881 1,856,644 928,322 464,161 1,392,484 696,242 348,121 1,044,364 522,182 261,091 783,274 391,637 1,174,912 587,456 293,728 146,864 73,432 36,716 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74

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