8,008,350

2 × 3 × 5² × 7 × 29 × 263

8,008,350 has the prime decomposition 2 × 3 × 5^2 × 7 × 29 × 263. Its 6 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 29 × 263

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 23,569,920

Proper Divisor Sum 15,561,570

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8008349 ← → #8008369

Radix Representation

Decimal	8008350
Binary	11110100011001010011110 (23 bits)
Octal	0o36431236
Hexadecimal	0x7A329E

Divisor Catalog (60 of 96)

1 2 3 5 6 7 10 14 15 21 25 29 30 35 42 50 58 70 75 87 105 145 150 174 175 203 210 263 290 350 406 435 525 526 609 725 789 870 1,015 1,050 1,218 1,315 1,450 1,578 1,841 2,030 2,175 2,630 3,045 3,682 3,945 4,350 5,075 5,523 6,090 6,575 7,627 7,890 9,205 10,150

Collatz Trajectory (93 steps to reach 1)

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

8,008,350 4,004,175 12,012,526 6,006,263 18,018,790 9,009,395 27,028,186 13,514,093 40,542,280 20,271,140 10,135,570 5,067,785 15,203,356 7,601,678 3,800,839 11,402,518 5,701,259 17,103,778 8,551,889 25,655,668 12,827,834 6,413,917 19,241,752 9,620,876 4,810,438 2,405,219 7,215,658 3,607,829 10,823,488 5,411,744 2,705,872 1,352,936 676,468 338,234 169,117 507,352 253,676 126,838 63,419 190,258 95,129 285,388 142,694 71,347 214,042 107,021 321,064 160,532 80,266 40,133 120,400 60,200 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411

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