λ
Harmonic Matrix

3,782,388

22 × 3 × 315199
Abundant Even Composite

3,782,388 has digital root 3. The neighboring primes are 3782377 and 3782407; its proper-divisor sum differs from the starting integer by 1,260,824.

Prime Factor Structure

Factorization String 2^2 × 3 × 315199
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,825,600
Proper Divisor Sum 5,043,212
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3782377 ← → #3782407

Radix Representation

Decimal 3782388
Binary 1110011011011011110100 (22 bits)
Octal 0o16333364
Hexadecimal 0x39B6F4

Divisor Catalog (12)

Collatz Trajectory (247 steps to reach 1)

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

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