3⁴ × 5² × 13 × 23 × 61

Prime Factor Structure

Factorization String 3^4 × 5^2 × 13 × 23 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 78,140,832

Proper Divisor Sum 41,206,857

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #36933961 ← → #36933991

1 3 5 9 13 15 23 25 27 39 45 61 65 69 75 81 115 117 135 183 195 207 225 299 305 325 345 351 405 549 575 585 621 675 793 897 915 975 1,035 1,053 1,403 1,495 1,525 1,647 1,725 1,755 1,863 2,025 2,379 2,691 2,745 2,925 3,105 3,965 4,209 4,485 4,575 4,941 5,175 5,265

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

36,933,975 110,801,926 55,400,963 166,202,890 83,101,445 249,304,336 124,652,168 62,326,084 31,163,042 15,581,521 46,744,564 23,372,282 11,686,141 35,058,424 17,529,212 8,764,606 4,382,303 13,146,910 6,573,455 19,720,366 9,860,183 29,580,550 14,790,275 44,370,826 22,185,413 66,556,240 33,278,120 16,639,060 8,319,530 4,159,765 12,479,296 6,239,648 3,119,824 1,559,912 779,956 389,978 194,989 584,968 292,484 146,242 73,121 219,364 109,682 54,841 164,524 82,262 41,131 123,394 61,697 185,092 92,546 46,273 138,820 69,410 34,705 104,116 52,058 26,029 78,088 39,044

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