λ
Ratio Atlas

12,477,480

23 × 3 × 5 × 103979
Abundant Even Composite

12,477,480 factors as 2^3 × 3 × 5 × 103979. Its 32 positive divisors give a proper-divisor sum of 24,955,320, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 103979
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,432,800
Proper Divisor Sum 24,955,320
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #12477467 ← → #12477529

Radix Representation

Decimal 12477480
Binary 101111100110010000101000 (24 bits)
Octal 0o57462050
Hexadecimal 0xBE6428

Divisor Catalog (32)

Collatz Trajectory (184 steps to reach 1)

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

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