λ
Ratio Atlas

10,347,136

27 × 229 × 353
Abundant Even Composite

10,347,136 factors as 2^7 × 229 × 353. Its 32 positive divisors give a proper-divisor sum of 10,414,964, so this integer is abundant. The Collatz stopping time is 52 steps.

Prime Factor Structure

Factorization String 2^7 × 229 × 353
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,762,100
Proper Divisor Sum 10,414,964
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10347131 ← → #10347157

Radix Representation

Decimal 10347136
Binary 100111011110001010000000 (24 bits)
Octal 0o47361200
Hexadecimal 0x9DE280

Divisor Catalog (32)

Collatz Trajectory (52 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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