λ
Prime Ledger

8,364,774

2 × 3 × 11 × 126739
Abundant Even Composite

8,364,774 has the prime decomposition 2 × 3 × 11 × 126739. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 126739
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,250,560
Proper Divisor Sum 9,885,786
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8364773 ← → #8364781

Radix Representation

Decimal 8364774
Binary 11111111010001011100110 (23 bits)
Octal 0o37721346
Hexadecimal 0x7FA2E6

Divisor Catalog (16)

1 2 3 6 11 22 33 66 126,739 253,478 380,217 760,434 1,394,129 2,788,258 4,182,387 8,364,774

Collatz Trajectory (199 steps to reach 1)

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

8,364,774 4,182,387 12,547,162 6,273,581 18,820,744 9,410,372 4,705,186 2,352,593 7,057,780 3,528,890 1,764,445 5,293,336 2,646,668 1,323,334 661,667 1,985,002 992,501 2,977,504 1,488,752 744,376 372,188 186,094 93,047 279,142 139,571 418,714 209,357 628,072 314,036 157,018 78,509 235,528 117,764 58,882 29,441 88,324 44,162 22,081 66,244 33,122 16,561 49,684 24,842 12,421 37,264 18,632 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475

More profiles

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