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Math Directory

7,337,309

72 × 137 × 1093
Deficient Odd Composite

7,337,309 factors as 7^2 × 137 × 1093. Its 12 positive divisors give a proper-divisor sum of 1,268,095, so this integer is deficient. The Collatz stopping time is 204 steps.

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Prime Factor Structure

Factorization String 7^2 × 137 × 1093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,605,404
Proper Divisor Sum 1,268,095
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7337279 ← → #7337327

Radix Representation

Decimal 7337309
Binary 11011111111010101011101 (23 bits)
Octal 0o33772535
Hexadecimal 0x6FF55D

Divisor Catalog (5 of 12)

1 7 49 137 959

Collatz Trajectory (204 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.

7,337,309 22,011,928 11,005,964 5,502,982 2,751,491

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