λ
Integer Codex

9,901,736

23 × 13 × 19 × 5011
Abundant Even Composite

For 9,901,736, the 32 positive divisors have a total of 21,050,400. Removing 9,901,736 leaves 11,148,664, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^3 × 13 × 19 × 5011
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,050,400
Proper Divisor Sum 11,148,664
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9901721 ← → #9901747

Radix Representation

Decimal 9901736
Binary 100101110001011010101000 (24 bits)
Octal 0o45613250
Hexadecimal 0x9716A8

Divisor Catalog (5 of 32)

1 2 4 8 13

Collatz Trajectory (83 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.

9,901,736 4,950,868 2,475,434 1,237,717 3,713,152

More profiles

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