λ
Math Directory

7,137,225

32 × 52 × 31721
Deficient Odd Composite

7,137,225 factors as 3^2 × 5^2 × 31721. Its 18 positive divisors give a proper-divisor sum of 5,646,741, so this integer is deficient. The Collatz stopping time is 98 steps.

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Prime Factor Structure

Factorization String 3^2 × 5^2 × 31721
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 12,783,966
Proper Divisor Sum 5,646,741
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7137209 ← → #7137259

Radix Representation

Decimal 7137225
Binary 11011001110011111001001 (23 bits)
Octal 0o33163711
Hexadecimal 0x6CE7C9

Divisor Catalog (5 of 18)

1 3 5 9 15

Collatz Trajectory (98 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.

7,137,225 21,411,676 10,705,838 5,352,919 16,058,758

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