8,388,126

2 × 3² × 641 × 727

For 8,388,126, the 24 positive divisors have a total of 18,227,664. Removing 8,388,126 leaves 9,839,538, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 641 × 727

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,227,664

Proper Divisor Sum 9,839,538

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8388113 ← → #8388187

Radix Representation

Decimal	8388126
Binary	11111111111111000011110 (23 bits)
Octal	0o37777036
Hexadecimal	0x7FFE1E

Divisor Catalog (24)

1 2 3 6 9 18 641 727 1,282 1,454 1,923 2,181 3,846 4,362 5,769 6,543 11,538 13,086 466,007 932,014 1,398,021 2,796,042 4,194,063 8,388,126

Collatz Trajectory (168 steps to reach 1)

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

8,388,126 4,194,063 12,582,190 6,291,095 18,873,286 9,436,643 28,309,930 14,154,965 42,464,896 21,232,448 10,616,224 5,308,112 2,654,056 1,327,028 663,514 331,757 995,272 497,636 248,818 124,409 373,228 186,614 93,307 279,922 139,961 419,884 209,942 104,971 314,914 157,457 472,372 236,186 118,093 354,280 177,140 88,570 44,285 132,856 66,428 33,214 16,607 49,822 24,911 74,734 37,367 112,102 56,051 168,154 84,077 252,232 126,116 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207

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