2³ × 5² × 7² × 41

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,113,210

Proper Divisor Sum 711,410

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #401773 ← → #401809

1 2 4 5 7 8 10 14 20 25 28 35 40 41 49 50 56 70 82 98 100 140 164 175 196 200 205 245 280 287 328 350 392 410 490 574 700 820 980 1,025 1,148 1,225 1,400 1,435 1,640 1,960 2,009 2,050 2,296 2,450 2,870 4,018 4,100 4,900 5,740 7,175 8,036 8,200 9,800 10,045

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

401,800 200,900 100,450 50,225 150,676 75,338 37,669 113,008 56,504 28,252 14,126 7,063 21,190 10,595 31,786 15,893 47,680 23,840 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427

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