2² × 3² × 37 × 331

Prime Factor Structure

Factorization String 2^2 × 3^2 × 37 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,148,056

Proper Divisor Sum 707,164

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #440863 ← → #440893

1 2 3 4 6 9 12 18 36 37 74 111 148 222 331 333 444 662 666 993 1,324 1,332 1,986 2,979 3,972 5,958 11,916 12,247 24,494 36,741 48,988 73,482 110,223 146,964 220,446 440,892

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

440,892 220,446 110,223 330,670 165,335 496,006 248,003 744,010 372,005 1,116,016 558,008 279,004 139,502 69,751 209,254 104,627 313,882 156,941 470,824 235,412 117,706 58,853 176,560 88,280 44,140 22,070 11,035 33,106 16,553 49,660 24,830 12,415 37,246 18,623 55,870 27,935 83,806 41,903 125,710 62,855 188,566 94,283 282,850 141,425 424,276 212,138 106,069 318,208 159,104 79,552 39,776 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798

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