λ
Sigma Notebook

7,740,336

24 × 3 × 472 × 73
Abundant Even Composite

7,740,336 is even and not a perfect square. Its factorization is 2^4 × 3 × 47^2 × 73 and its 60 divisors sum to 20,710,232.

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Prime Factor Structure

Factorization String 2^4 × 3 × 47^2 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 20,710,232
Proper Divisor Sum 12,969,896
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7740323 ← → #7740371

Radix Representation

Decimal 7740336
Binary 11101100001101110110000 (23 bits)
Octal 0o35415660
Hexadecimal 0x761BB0

Divisor Catalog (5 of 60)

1 2 3 4 6

Collatz Trajectory (142 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.

7,740,336 3,870,168 1,935,084 967,542 483,771

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