2 × 5² × 7 × 13 × 29 × 61

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 13 × 29 × 61

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 19,373,760

Proper Divisor Sum 11,324,810

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8048941 ← → #8048969

1 2 5 7 10 13 14 25 26 29 35 50 58 61 65 70 91 122 130 145 175 182 203 290 305 325 350 377 406 427 455 610 650 725 754 793 854 910 1,015 1,450 1,525 1,586 1,769 1,885 2,030 2,135 2,275 2,639 3,050 3,538 3,770 3,965 4,270 4,550 5,075 5,278 5,551 7,930 8,845 9,425

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

8,048,950 4,024,475 12,073,426 6,036,713 18,110,140 9,055,070 4,527,535 13,582,606 6,791,303 20,373,910 10,186,955 30,560,866 15,280,433 45,841,300 22,920,650 11,460,325 34,380,976 17,190,488 8,595,244 4,297,622 2,148,811 6,446,434 3,223,217 9,669,652 4,834,826 2,417,413 7,252,240 3,626,120 1,813,060 906,530 453,265 1,359,796 679,898 339,949 1,019,848 509,924 254,962 127,481 382,444 191,222 95,611 286,834 143,417 430,252 215,126 107,563 322,690 161,345 484,036 242,018 121,009 363,028 181,514 90,757 272,272 136,136 68,068 34,034 17,017 51,052

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