2⁴ × 3 × 5² × 409

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,576,040

Proper Divisor Sum 1,085,240

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #490783 ← → #490829

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 409 600 818 1,200 1,227 1,636 2,045 2,454 3,272 4,090 4,908 6,135 6,544 8,180 9,816 10,225 12,270 16,360 19,632 20,450 24,540 30,675 32,720 40,900 49,080 61,350 81,800 98,160 122,700 163,600 245,400 490,800

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

490,800 245,400 122,700 61,350 30,675 92,026 46,013 138,040 69,020 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238 29,119 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694 165,847 497,542 248,771 746,314 373,157 1,119,472 559,736 279,868 139,934 69,967 209,902 104,951 314,854 157,427 472,282 236,141 708,424 354,212 177,106 88,553 265,660 132,830 66,415 199,246 99,623 298,870 149,435 448,306 224,153 672,460

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