λ
Match Zalai

9,993,613

7 × 197 × 7247
Deficient Odd Composite

9,993,613 factors as 7 × 197 × 7247. Its 8 positive divisors give a proper-divisor sum of 1,487,219, so this integer is deficient. The Collatz stopping time is 145 steps.

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Prime Factor Structure

Factorization String 7 × 197 × 7247
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,480,832
Proper Divisor Sum 1,487,219
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9993611 ← → #9993623

Radix Representation

Decimal 9993613
Binary 100110000111110110001101 (24 bits)
Octal 0o46076615
Hexadecimal 0x987D8D

Divisor Catalog (5 of 8)

1 7 197 1,379 7,247

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.

9,993,613 29,980,840 14,990,420 7,495,210 3,747,605

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