3 × 5² × 7³ × 11

Prime Factor Structure

Factorization String 3 × 5^2 × 7^3 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 595,200

Proper Divisor Sum 312,225

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #282973 ← → #282977

1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 147 165 175 231 245 275 343 385 525 539 735 825 1,029 1,155 1,225 1,617 1,715 1,925 2,695 3,675 3,773 5,145 5,775 8,085 8,575 11,319 13,475 18,865 25,725 40,425 56,595 94,325 282,975

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

282,975 848,926 424,463 1,273,390 636,695 1,910,086 955,043 2,865,130 1,432,565 4,297,696 2,148,848 1,074,424 537,212 268,606 134,303 402,910 201,455 604,366 302,183 906,550 453,275 1,359,826 679,913 2,039,740 1,019,870 509,935 1,529,806 764,903 2,294,710 1,147,355 3,442,066 1,721,033 5,163,100 2,581,550 1,290,775 3,872,326 1,936,163 5,808,490 2,904,245 8,712,736 4,356,368 2,178,184 1,089,092 544,546 272,273 816,820 408,410 204,205 612,616 306,308 153,154 76,577 229,732 114,866 57,433 172,300 86,150 43,075 129,226 64,613

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