λ
Math Directory

7,650,336

25 × 3 × 79691
Abundant Even Composite

7,650,336 factors as 2^5 × 3 × 79691. Its 24 positive divisors give a proper-divisor sum of 12,432,048, so this integer is abundant. The Collatz stopping time is 173 steps.

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Prime Factor Structure

Factorization String 2^5 × 3 × 79691
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,082,384
Proper Divisor Sum 12,432,048
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7650319 ← → #7650337

Radix Representation

Decimal 7650336
Binary 11101001011110000100000 (23 bits)
Octal 0o35136040
Hexadecimal 0x74BC20

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (173 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.

7,650,336 3,825,168 1,912,584 956,292 478,146

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