3 × 7 × 37 × 101

Prime Factor Structure

Factorization String 3 × 7 × 37 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 124,032

Proper Divisor Sum 45,555

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #78467 ← → #78479

1 3 7 21 37 101 111 259 303 707 777 2,121 3,737 11,211 26,159 78,477

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

78,477 235,432 117,716 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 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 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500

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