2 × 3 × 5 × 29² × 761

Prime Factor Structure

Factorization String 2 × 3 × 5 × 29^2 × 761

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 47,786,544

Proper Divisor Sum 28,586,514

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #19200029 ← → #19200037

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

19,200,030 9,600,015 28,800,046 14,400,023 43,200,070 21,600,035 64,800,106 32,400,053 97,200,160 48,600,080 24,300,040 12,150,020 6,075,010 3,037,505 9,112,516 4,556,258 2,278,129 6,834,388 3,417,194 1,708,597 5,125,792 2,562,896 1,281,448 640,724 320,362 160,181 480,544 240,272 120,136 60,068 30,034 15,017 45,052 22,526 11,263 33,790 16,895 50,686 25,343 76,030 38,015 114,046 57,023 171,070 85,535 256,606 128,303 384,910 192,455 577,366 288,683 866,050 433,025 1,299,076 649,538 324,769 974,308 487,154 243,577 730,732

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