2⁴ × 7³ × 61

Prime Factor Structure

Factorization String 2^4 × 7^3 × 61

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 768,800

Proper Divisor Sum 434,032

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #334759 ← → #334771

1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 343 392 427 488 686 784 854 976 1,372 1,708 2,744 2,989 3,416 5,488 5,978 6,832 11,956 20,923 23,912 41,846 47,824 83,692 167,384 334,768

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

334,768 167,384 83,692 41,846 20,923 62,770 31,385 94,156 47,078 23,539 70,618 35,309 105,928 52,964 26,482 13,241 39,724 19,862 9,931 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126

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