2³ × 3 × 13 × 1307

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 1307

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,098,720

Proper Divisor Sum 690,936

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #407783 ← → #407789

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1,307 2,614 3,921 5,228 7,842 10,456 15,684 16,991 31,368 33,982 50,973 67,964 101,946 135,928 203,892 407,784

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

407,784 203,892 101,946 50,973 152,920 76,460 38,230 19,115 57,346 28,673 86,020 43,010 21,505 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433

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