2 × 3 × 11 × 13 × 37 × 53²

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13 × 37 × 53^2

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 219,328,704

Proper Divisor Sum 130,154,190

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #89174483 ← → #89174539

1 2 3 6 11 13 22 26 33 37 39 53 66 74 78 106 111 143 159 222 286 318 407 429 481 583 689 814 858 962 1,166 1,221 1,378 1,443 1,749 1,961 2,067 2,442 2,809 2,886 3,498 3,922 4,134 5,291 5,618 5,883 7,579 8,427 10,582 11,766 15,158 15,873 16,854 21,571 22,737 25,493 30,899 31,746 36,517 43,142

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

89,174,514 44,587,257 133,761,772 66,880,886 33,440,443 100,321,330 50,160,665 150,481,996 75,240,998 37,620,499 112,861,498 56,430,749 169,292,248 84,646,124 42,323,062 21,161,531 63,484,594 31,742,297 95,226,892 47,613,446 23,806,723 71,420,170 35,710,085 107,130,256 53,565,128 26,782,564 13,391,282 6,695,641 20,086,924 10,043,462 5,021,731 15,065,194 7,532,597 22,597,792 11,298,896 5,649,448 2,824,724 1,412,362 706,181 2,118,544 1,059,272 529,636 264,818 132,409 397,228 198,614 99,307 297,922 148,961 446,884 223,442 111,721 335,164 167,582 83,791 251,374 125,687 377,062 188,531 565,594

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