2 × 3⁴ × 5 × 17 × 523

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 17 × 523

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 20,542,896

Proper Divisor Sum 13,341,186

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7201709 ← → #7201751

1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 523 765 810 918 1,046 1,377 1,530 1,569 2,295 2,615 2,754 3,138 4,590 4,707 5,230 6,885 7,845 8,891 9,414 13,770 14,121 15,690 17,782 23,535 26,673 28,242 42,363 44,455 47,070 53,346

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

7,201,710 3,600,855 10,802,566 5,401,283 16,203,850 8,101,925 24,305,776 12,152,888 6,076,444 3,038,222 1,519,111 4,557,334 2,278,667 6,836,002 3,418,001 10,254,004 5,127,002 2,563,501 7,690,504 3,845,252 1,922,626 961,313 2,883,940 1,441,970 720,985 2,162,956 1,081,478 540,739 1,622,218 811,109 2,433,328 1,216,664 608,332 304,166 152,083 456,250 228,125 684,376 342,188 171,094 85,547 256,642 128,321 384,964 192,482 96,241 288,724 144,362 72,181 216,544 108,272 54,136 27,068 13,534 6,767 20,302 10,151 30,454 15,227 45,682

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