λ
Ratio Atlas

9,906,825

3 × 52 × 31 × 4261
Deficient Odd Composite

9,906,825 factors as 3 × 5^2 × 31 × 4261. Its 24 positive divisors give a proper-divisor sum of 7,004,791, so this integer is deficient. The Collatz stopping time is 145 steps.

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Prime Factor Structure

Factorization String 3 × 5^2 × 31 × 4261
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,911,616
Proper Divisor Sum 7,004,791
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9906791 ← → #9906833

Radix Representation

Decimal 9906825
Binary 100101110010101010001001 (24 bits)
Octal 0o45625211
Hexadecimal 0x972A89

Divisor Catalog (5 of 24)

1 3 5 15 25

Collatz Trajectory (145 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.

9,906,825 29,720,476 14,860,238 7,430,119 22,290,358

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