2 × 3² × 7³ × 11 × 1223

Prime Factor Structure

Factorization String 2 × 3^2 × 7^3 × 11 × 1223

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 229,132,800

Proper Divisor Sum 146,073,978

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #83058799 ← → #83058839

1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 343 441 462 539 686 693 882 1,029 1,078 1,223 1,386 1,617 2,058 2,446 3,087 3,234 3,669 3,773 4,851 6,174 7,338 7,546 8,561 9,702 11,007 11,319 13,453 17,122 22,014 22,638 25,683 26,906 33,957 40,359 51,366

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

83,058,822 41,529,411 124,588,234 62,294,117 186,882,352 93,441,176 46,720,588 23,360,294 11,680,147 35,040,442 17,520,221 52,560,664 26,280,332 13,140,166 6,570,083 19,710,250 9,855,125 29,565,376 14,782,688 7,391,344 3,695,672 1,847,836 923,918 461,959 1,385,878 692,939 2,078,818 1,039,409 3,118,228 1,559,114 779,557 2,338,672 1,169,336 584,668 292,334 146,167 438,502 219,251 657,754 328,877 986,632 493,316 246,658 123,329 369,988 184,994 92,497 277,492 138,746 69,373 208,120 104,060 52,030 26,015 78,046 39,023 117,070 58,535 175,606 87,803

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