2³ × 5² × 7⁴

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7^4

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,302,465

Proper Divisor Sum 822,265

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #480169 ← → #480203

1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 343 350 392 490 686 700 980 1,225 1,372 1,400 1,715 1,960 2,401 2,450 2,744 3,430 4,802 4,900 6,860 8,575 9,604 9,800 12,005 13,720 17,150 19,208 24,010 34,300 48,020 60,025 68,600 96,040 120,050 240,100 480,200

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

480,200 240,100 120,050 60,025 180,076 90,038 45,019 135,058 67,529 202,588 101,294 50,647 151,942 75,971 227,914 113,957 341,872 170,936 85,468 42,734 21,367 64,102 32,051 96,154 48,077 144,232 72,116 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286

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