2² × 3⁸ × 17²

Prime Factor Structure

Factorization String 2^2 × 3^8 × 17^2

Distinct Prime Factors 3

Square Status Yes (√7584516 = 2754)

Abundance Measure Abundant

Analytical Properties

Total Divisors 81

Divisor Sum (σ) 21,148,309

Proper Divisor Sum 13,563,793

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7584497 ← → #7584517

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 289 306 324 459 486 578 612 729 867 918 972 1,156 1,377 1,458 1,734 1,836 2,187 2,601 2,754 2,916 3,468 4,131 4,374 5,202 5,508 6,561 7,803 8,262 8,748 10,404 12,393 13,122 15,606 16,524 23,409 24,786 26,244 31,212

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

7,584,516 3,792,258 1,896,129 5,688,388 2,844,194 1,422,097 4,266,292 2,133,146 1,066,573 3,199,720 1,599,860 799,930 399,965 1,199,896 599,948 299,974 149,987 449,962 224,981 674,944 337,472 168,736 84,368 42,184 21,092 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348

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