λ
Harmonic Matrix

5,012,382

2 × 3 × 17 × 157 × 313
Abundant Even Composite

5,012,382 has digital root 3. The neighboring primes are 5012377 and 5012383; its proper-divisor sum differs from the starting integer by 691,428.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 157 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,716,192
Proper Divisor Sum 5,703,810
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5012377 ← → #5012383

Radix Representation

Decimal 5012382
Binary 10011000111101110011110 (23 bits)
Octal 0o23075636
Hexadecimal 0x4C7B9E

Divisor Catalog (32)

Collatz Trajectory (219 steps to reach 1)

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

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