830,850

2 × 3 × 5² × 29 × 191

830,850 is even and not a perfect square. Its factorization is 2 × 3 × 5^2 × 29 × 191 and its 48 divisors sum to 2,142,720.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 29 × 191

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,142,720

Proper Divisor Sum 1,311,870

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #830849 ← → #830861

Radix Representation

Decimal	830850
Binary	11001010110110000010 (20 bits)
Octal	0o3126602
Hexadecimal	0xCAD82

Divisor Catalog (48)

1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 191 290 382 435 573 725 870 955 1,146 1,450 1,910 2,175 2,865 4,350 4,775 5,539 5,730 9,550 11,078 14,325 16,617 27,695 28,650 33,234 55,390 83,085 138,475 166,170 276,950 415,425 830,850

Collatz Trajectory (56 steps to reach 1)

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

830,850 415,425 1,246,276 623,138 311,569 934,708 467,354 233,677 701,032 350,516 175,258 87,629 262,888 131,444 65,722 32,861 98,584 49,292 24,646 12,323 36,970 18,485 55,456 27,728 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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