3⁴ × 5 × 7² × 37

Prime Factor Structure

Factorization String 3^4 × 5 × 7^2 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,572,516

Proper Divisor Sum 838,251

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #734263 ← → #734267

1 3 5 7 9 15 21 27 35 37 45 49 63 81 105 111 135 147 185 189 245 259 315 333 405 441 555 567 735 777 945 999 1,295 1,323 1,665 1,813 2,205 2,331 2,835 2,997 3,885 3,969 4,995 5,439 6,615 6,993 9,065 11,655 14,985 16,317 19,845 20,979 27,195 34,965 48,951 81,585 104,895 146,853 244,755 734,265

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

734,265 2,202,796 1,101,398 550,699 1,652,098 826,049 2,478,148 1,239,074 619,537 1,858,612 929,306 464,653 1,393,960 696,980 348,490 174,245 522,736 261,368 130,684 65,342 32,671 98,014 49,007 147,022 73,511 220,534 110,267 330,802 165,401 496,204 248,102 124,051 372,154 186,077 558,232 279,116 139,558 69,779 209,338 104,669 314,008 157,004 78,502 39,251 117,754 58,877 176,632 88,316 44,158 22,079 66,238 33,119 99,358 49,679 149,038 74,519 223,558 111,779 335,338 167,669

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