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8,423,716

22 × 7 × 37 × 47 × 173
Abundant Even Composite

8,423,716 factors as 2^2 × 7 × 37 × 47 × 173. Its 48 positive divisors give a proper-divisor sum of 9,349,340, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 37 × 47 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,773,056
Proper Divisor Sum 9,349,340
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8423711 ← → #8423729

Radix Representation

Decimal 8423716
Binary 100000001000100100100100 (24 bits)
Octal 0o40104444
Hexadecimal 0x808924

Divisor Catalog (48)

1 2 4 7 14 28 37 47 74 94 148 173 188 259 329 346 518 658 692 1,036 1,211 1,316 1,739 2,422 3,478 4,844 6,401 6,956 8,131 12,173 12,802 16,262 24,346 25,604 32,524 44,807 48,692 56,917 89,614 113,834 179,228 227,668 300,847 601,694 1,203,388 2,105,929 4,211,858 8,423,716

Collatz Trajectory (199 steps to reach 1)

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

8,423,716 4,211,858 2,105,929 6,317,788 3,158,894 1,579,447 4,738,342 2,369,171 7,107,514 3,553,757 10,661,272 5,330,636 2,665,318 1,332,659 3,997,978 1,998,989 5,996,968 2,998,484 1,499,242 749,621 2,248,864 1,124,432 562,216 281,108 140,554 70,277 210,832 105,416 52,708 26,354 13,177 39,532 19,766 9,883 29,650 14,825 44,476 22,238 11,119 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440

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