2⁵ × 3² × 1447

Prime Factor Structure

Factorization String 2^5 × 3^2 × 1447

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,185,912

Proper Divisor Sum 769,176

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #416719 ← → #416761

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1,447 2,894 4,341 5,788 8,682 11,576 13,023 17,364 23,152 26,046 34,728 46,304 52,092 69,456 104,184 138,912 208,368 416,736

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

416,736 208,368 104,184 52,092 26,046 13,023 39,070 19,535 58,606 29,303 87,910 43,955 131,866 65,933 197,800 98,900 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74

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