2² × 3⁵ × 709

Prime Factor Structure

Factorization String 2^2 × 3^5 × 709

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,809,080

Proper Divisor Sum 1,119,932

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #689141 ← → #689167

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 709 972 1,418 2,127 2,836 4,254 6,381 8,508 12,762 19,143 25,524 38,286 57,429 76,572 114,858 172,287 229,716 344,574 689,148

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

689,148 344,574 172,287 516,862 258,431 775,294 387,647 1,162,942 581,471 1,744,414 872,207 2,616,622 1,308,311 3,924,934 1,962,467 5,887,402 2,943,701 8,831,104 4,415,552 2,207,776 1,103,888 551,944 275,972 137,986 68,993 206,980 103,490 51,745 155,236 77,618 38,809 116,428 58,214 29,107 87,322 43,661 130,984 65,492 32,746 16,373 49,120 24,560 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243

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