2⁴ × 7³ × 47

Prime Factor Structure

Factorization String 2^4 × 7^3 × 47

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 595,200

Proper Divisor Sum 337,264

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #257921 ← → #257947

1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 343 376 392 658 686 752 784 1,316 1,372 2,303 2,632 2,744 4,606 5,264 5,488 9,212 16,121 18,424 32,242 36,848 64,484 128,968 257,936

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

257,936 128,968 64,484 32,242 16,121 48,364 24,182 12,091 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841

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