2³ × 3 × 11 × 1567

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 1567

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,128,960

Proper Divisor Sum 715,272

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #413683 ← → #413689

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1,567 3,134 4,701 6,268 9,402 12,536 17,237 18,804 34,474 37,608 51,711 68,948 103,422 137,896 206,844 413,688

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

413,688 206,844 103,422 51,711 155,134 77,567 232,702 116,351 349,054 174,527 523,582 261,791 785,374 392,687 1,178,062 589,031 1,767,094 883,547 2,650,642 1,325,321 3,975,964 1,987,982 993,991 2,981,974 1,490,987 4,472,962 2,236,481 6,709,444 3,354,722 1,677,361 5,032,084 2,516,042 1,258,021 3,774,064 1,887,032 943,516 471,758 235,879 707,638 353,819 1,061,458 530,729 1,592,188 796,094 398,047 1,194,142 597,071 1,791,214 895,607 2,686,822 1,343,411 4,030,234 2,015,117 6,045,352 3,022,676 1,511,338 755,669 2,267,008 1,133,504 566,752

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