3 × 7² × 53 × 59

Prime Factor Structure

Factorization String 3 × 7^2 × 53 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 738,720

Proper Divisor Sum 279,051

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #459649 ← → #459671

1 3 7 21 49 53 59 147 159 177 371 413 1,113 1,239 2,597 2,891 3,127 7,791 8,673 9,381 21,889 65,667 153,223 459,669

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

459,669 1,379,008 689,504 344,752 172,376 86,188 43,094 21,547 64,642 32,321 96,964 48,482 24,241 72,724 36,362 18,181 54,544 27,272 13,636 6,818 3,409 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920

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