λ
Math Directory

8,928,744

23 × 3 × 11 × 31 × 1091
Abundant Even Composite

8,928,744 factors as 2^3 × 3 × 11 × 31 × 1091. Its 64 positive divisors give a proper-divisor sum of 16,230,936, so this integer is abundant. The Collatz stopping time is 318 steps.

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Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 31 × 1091
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,159,680
Proper Divisor Sum 16,230,936
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8928721 ← → #8928749

Radix Representation

Decimal 8928744
Binary 100010000011110111101000 (24 bits)
Octal 0o42036750
Hexadecimal 0x883DE8

Divisor Catalog (5 of 64)

1 2 3 4 6

Collatz Trajectory (318 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

8,928,744 4,464,372 2,232,186 1,116,093 3,348,280

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