2 × 3² × 7³ × 113

Prime Factor Structure

Factorization String 2 × 3^2 × 7^3 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,778,400

Proper Divisor Sum 1,080,738

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #697643 ← → #697673

1 2 3 6 7 9 14 18 21 42 49 63 98 113 126 147 226 294 339 343 441 678 686 791 882 1,017 1,029 1,582 2,034 2,058 2,373 3,087 4,746 5,537 6,174 7,119 11,074 14,238 16,611 33,222 38,759 49,833 77,518 99,666 116,277 232,554 348,831 697,662

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

697,662 348,831 1,046,494 523,247 1,569,742 784,871 2,354,614 1,177,307 3,531,922 1,765,961 5,297,884 2,648,942 1,324,471 3,973,414 1,986,707 5,960,122 2,980,061 8,940,184 4,470,092 2,235,046 1,117,523 3,352,570 1,676,285 5,028,856 2,514,428 1,257,214 628,607 1,885,822 942,911 2,828,734 1,414,367 4,243,102 2,121,551 6,364,654 3,182,327 9,546,982 4,773,491 14,320,474 7,160,237 21,480,712 10,740,356 5,370,178 2,685,089 8,055,268 4,027,634 2,013,817 6,041,452 3,020,726 1,510,363 4,531,090 2,265,545 6,796,636 3,398,318 1,699,159 5,097,478 2,548,739 7,646,218 3,823,109 11,469,328 5,734,664

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