3 × 7 × 11² × 59 × 547

Prime Factor Structure

Factorization String 3 × 7 × 11^2 × 59 × 547

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 139,937,280

Proper Divisor Sum 57,931,587

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #82005689 ← → #82005697

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

82,005,693 246,017,080 123,008,540 61,504,270 30,752,135 92,256,406 46,128,203 138,384,610 69,192,305 207,576,916 103,788,458 51,894,229 155,682,688 77,841,344 38,920,672 19,460,336 9,730,168 4,865,084 2,432,542 1,216,271 3,648,814 1,824,407 5,473,222 2,736,611 8,209,834 4,104,917 12,314,752 6,157,376 3,078,688 1,539,344 769,672 384,836 192,418 96,209 288,628 144,314 72,157 216,472 108,236 54,118 27,059 81,178 40,589 121,768 60,884 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410

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