2⁶ × 5² × 457

Prime Factor Structure

Factorization String 2^6 × 5^2 × 457

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 1,803,146

Proper Divisor Sum 1,071,946

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #731191 ← → #731201

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 457 800 914 1,600 1,828 2,285 3,656 4,570 7,312 9,140 11,425 14,624 18,280 22,850 29,248 36,560 45,700 73,120 91,400 146,240 182,800 365,600 731,200

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

731,200 365,600 182,800 91,400 45,700 22,850 11,425 34,276 17,138 8,569 25,708 12,854 6,427 19,282 9,641 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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