λ
Math Directory

7,796,664

23 × 32 × 108287
Abundant Even Composite

7,796,664 factors as 2^3 × 3^2 × 108287. Its 24 positive divisors give a proper-divisor sum of 13,319,496, so this integer is abundant. The Collatz stopping time is 98 steps.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 108287
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,116,160
Proper Divisor Sum 13,319,496
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7796653 ← → #7796687

Radix Representation

Decimal 7796664
Binary 11101101111011110111000 (23 bits)
Octal 0o35573670
Hexadecimal 0x76F7B8

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (98 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.

7,796,664 3,898,332 1,949,166 974,583 2,923,750

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