3⁴ × 7 × 11 × 29 × 47

Prime Factor Structure

Factorization String 3^4 × 7 × 11 × 29 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 16,727,040

Proper Divisor Sum 8,226,009

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8501029 ← → #8501033

1 3 7 9 11 21 27 29 33 47 63 77 81 87 99 141 189 203 231 261 297 319 329 423 517 567 609 693 783 891 957 987 1,269 1,363 1,551 1,827 2,079 2,233 2,349 2,871 2,961 3,619 3,807 4,089 4,653 5,481 6,237 6,699 8,613 8,883 9,541 10,857 12,267 13,959 14,993 16,443 20,097 25,839 26,649 28,623

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

8,501,031 25,503,094 12,751,547 38,254,642 19,127,321 57,381,964 28,690,982 14,345,491 43,036,474 21,518,237 64,554,712 32,277,356 16,138,678 8,069,339 24,208,018 12,104,009 36,312,028 18,156,014 9,078,007 27,234,022 13,617,011 40,851,034 20,425,517 61,276,552 30,638,276 15,319,138 7,659,569 22,978,708 11,489,354 5,744,677 17,234,032 8,617,016 4,308,508 2,154,254 1,077,127 3,231,382 1,615,691 4,847,074 2,423,537 7,270,612 3,635,306 1,817,653 5,452,960 2,726,480 1,363,240 681,620 340,810 170,405 511,216 255,608 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512

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