2² × 3⁴ × 37²

Prime Factor Structure

Factorization String 2^2 × 3^4 × 37^2

Distinct Prime Factors 3

Square Status Yes (√443556 = 666)

Abundance Measure Abundant

Analytical Properties

Total Divisors 45

Divisor Sum (σ) 1,191,729

Proper Divisor Sum 748,173

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #443551 ← → #443561

1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1,332 1,369 1,998 2,738 2,997 3,996 4,107 5,476 5,994 8,214 11,988 12,321 16,428 24,642 36,963 49,284 73,926 110,889 147,852 221,778 443,556

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

443,556 221,778 110,889 332,668 166,334 83,167 249,502 124,751 374,254 187,127 561,382 280,691 842,074 421,037 1,263,112 631,556 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220 66,610 33,305 99,916 49,958 24,979 74,938 37,469 112,408 56,204 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472

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