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Math Directory

9,845,985

3 × 5 × 67 × 97 × 101
Deficient Odd Composite

9,845,985 factors as 3 × 5 × 67 × 97 × 101. Its 32 positive divisors give a proper-divisor sum of 6,467,487, so this integer is deficient. The Collatz stopping time is 238 steps.

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Prime Factor Structure

Factorization String 3 × 5 × 67 × 97 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,313,472
Proper Divisor Sum 6,467,487
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9845963 ← → #9845989

Radix Representation

Decimal 9845985
Binary 100101100011110011100001 (24 bits)
Octal 0o45436341
Hexadecimal 0x963CE1

Divisor Catalog (5 of 32)

1 3 5 15 67

Collatz Trajectory (238 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.

9,845,985 29,537,956 14,768,978 7,384,489 22,153,468

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