3 × 7 × 31 × 127

Prime Factor Structure

Factorization String 3 × 7 × 31 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 131,072

Proper Divisor Sum 48,395

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #82657 ← → #82699

1 3 7 21 31 93 127 217 381 651 889 2,667 3,937 11,811 27,559 82,677

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

82,677 248,032 124,016 62,008 31,004 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158

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