2⁶ × 3² × 37 × 419

Prime Factor Structure

Factorization String 2^6 × 3^2 × 37 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 26,349,960

Proper Divisor Sum 17,420,232

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8929673 ← → #8929733

1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 419 444 576 592 666 838 888 1,184 1,257 1,332 1,676 1,776 2,368 2,514 2,664 3,352 3,552 3,771 5,028 5,328 6,704 7,104 7,542 10,056 10,656 13,408 15,084 15,503 20,112 21,312 26,816 30,168 31,006

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

8,929,728 4,464,864 2,232,432 1,116,216 558,108 279,054 139,527 418,582 209,291 627,874 313,937 941,812 470,906 235,453 706,360 353,180 176,590 88,295 264,886 132,443 397,330 198,665 595,996 297,998 148,999 446,998 223,499 670,498 335,249 1,005,748 502,874 251,437 754,312 377,156 188,578 94,289 282,868 141,434 70,717 212,152 106,076 53,038 26,519 79,558 39,779 119,338 59,669 179,008 89,504 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574

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