8,324,232

2³ × 3 × 7 × 49549

8,324,232 has the prime decomposition 2^3 × 3 × 7 × 49549. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 49549

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 23,784,000

Proper Divisor Sum 15,459,768

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8324231 ← → #8324269

Radix Representation

Decimal	8324232
Binary	11111110000010010001000 (23 bits)
Octal	0o37602210
Hexadecimal	0x7F0488

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 49,549 99,098 148,647 198,196 297,294 346,843 396,392 594,588 693,686 1,040,529 1,189,176 1,387,372 2,081,058 2,774,744 4,162,116 8,324,232

Collatz Trajectory (137 steps to reach 1)

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

8,324,232 4,162,116 2,081,058 1,040,529 3,121,588 1,560,794 780,397 2,341,192 1,170,596 585,298 292,649 877,948 438,974 219,487 658,462 329,231 987,694 493,847 1,481,542 740,771 2,222,314 1,111,157 3,333,472 1,666,736 833,368 416,684 208,342 104,171 312,514 156,257 468,772 234,386 117,193 351,580 175,790 87,895 263,686 131,843 395,530 197,765 593,296 296,648 148,324 74,162 37,081 111,244 55,622 27,811 83,434 41,717 125,152 62,576 31,288 15,644 7,822 3,911 11,734 5,867 17,602 8,801

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