3 × 7² × 2731

Prime Factor Structure

Factorization String 3 × 7^2 × 2731

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 622,896

Proper Divisor Sum 221,439

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #401417 ← → #401473

1 3 7 21 49 147 2,731 8,193 19,117 57,351 133,819 401,457

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

401,457 1,204,372 602,186 301,093 903,280 451,640 225,820 112,910 56,455 169,366 84,683 254,050 127,025 381,076 190,538 95,269 285,808 142,904 71,452 35,726 17,863 53,590 26,795 80,386 40,193 120,580 60,290 30,145 90,436 45,218 22,609 67,828 33,914 16,957 50,872 25,436 12,718 6,359 19,078 9,539 28,618 14,309 42,928 21,464 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548

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