λ
Sigma Notebook

7,565,301

32 × 840589
Deficient Odd Composite

7,565,301 is odd and not a perfect square. Its factorization is 3^2 × 840589 and its 6 divisors sum to 10,927,670.

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Prime Factor Structure

Factorization String 3^2 × 840589
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,927,670
Proper Divisor Sum 3,362,369
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7565191 ← → #7565303

Radix Representation

Decimal 7565301
Binary 11100110110111111110101 (23 bits)
Octal 0o34667765
Hexadecimal 0x736FF5

Divisor Catalog (5 of 6)

1 3 9 840,589 2,521,767

Collatz Trajectory (248 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.

7,565,301 22,695,904 11,347,952 5,673,976 2,836,988

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