2⁵ × 3² × 5 × 401

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,975,428

Proper Divisor Sum 1,397,988

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #577427 ← → #577453

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 401 480 720 802 1,203 1,440 1,604 2,005 2,406 3,208 3,609 4,010 4,812 6,015 6,416 7,218 8,020 9,624 12,030 12,832 14,436 16,040 18,045 19,248 24,060 28,872 32,080

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

577,440 288,720 144,360 72,180 36,090 18,045 54,136 27,068 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991

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