λ
Sigma Notebook

7,397,127

32 × 31 × 26513
Deficient Odd Composite

7,397,127 is odd and not a perfect square. Its factorization is 3^2 × 31 × 26513 and its 12 divisors sum to 11,029,824.

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Prime Factor Structure

Factorization String 3^2 × 31 × 26513
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,029,824
Proper Divisor Sum 3,632,697
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7397119 ← → #7397141

Radix Representation

Decimal 7397127
Binary 11100001101111100000111 (23 bits)
Octal 0o34157407
Hexadecimal 0x70DF07

Divisor Catalog (5 of 12)

1 3 9 31 93

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.

7,397,127 22,191,382 11,095,691 33,287,074 16,643,537

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