λ
Ratio Atlas

10,114,432

27 × 31 × 2549
Abundant Even Composite

10,114,432 factors as 2^7 × 31 × 2549. Its 32 positive divisors give a proper-divisor sum of 10,693,568, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^7 × 31 × 2549
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,808,000
Proper Divisor Sum 10,693,568
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #10114409 ← → #10114453

Radix Representation

Decimal 10114432
Binary 100110100101010110000000 (24 bits)
Octal 0o46452600
Hexadecimal 0x9A5580

Divisor Catalog (32)

Collatz Trajectory (145 steps to reach 1)

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

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