2² × 3² × 11² × 167

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11^2 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 2,033,304

Proper Divisor Sum 1,305,852

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #727451 ← → #727459

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

727,452 363,726 181,863 545,590 272,795 818,386 409,193 1,227,580 613,790 306,895 920,686 460,343 1,381,030 690,515 2,071,546 1,035,773 3,107,320 1,553,660 776,830 388,415 1,165,246 582,623 1,747,870 873,935 2,621,806 1,310,903 3,932,710 1,966,355 5,899,066 2,949,533 8,848,600 4,424,300 2,212,150 1,106,075 3,318,226 1,659,113 4,977,340 2,488,670 1,244,335 3,733,006 1,866,503 5,599,510 2,799,755 8,399,266 4,199,633 12,598,900 6,299,450 3,149,725 9,449,176 4,724,588 2,362,294 1,181,147 3,543,442 1,771,721 5,315,164 2,657,582 1,328,791 3,986,374 1,993,187 5,979,562

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