2³ × 3 × 5 × 29 × 131

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 29 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,425,600

Proper Divisor Sum 969,720

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #455863 ← → #455881

1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 131 145 174 232 262 290 348 393 435 524 580 655 696 786 870 1,048 1,160 1,310 1,572 1,740 1,965 2,620 3,144 3,480 3,799 3,930 5,240 7,598 7,860 11,397 15,196 15,720 18,995 22,794 30,392 37,990 45,588 56,985 75,980 91,176

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

455,880 227,940 113,970 56,985 170,956 85,478 42,739 128,218 64,109 192,328 96,164 48,082 24,041 72,124 36,062 18,031 54,094 27,047 81,142 40,571 121,714 60,857 182,572 91,286 45,643 136,930 68,465 205,396 102,698 51,349 154,048 77,024 38,512 19,256 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360

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