λ
Harmonic Matrix

3,223,152

24 × 35 × 829
Abundant Even Composite

3,223,152 has digital root 9. The neighboring primes are 3223127 and 3223153; its proper-divisor sum differs from the starting integer by 2,919,416.

Prime Factor Structure

Factorization String 2^4 × 3^5 × 829
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 9,365,720
Proper Divisor Sum 6,142,568
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3223127 ← → #3223153

Radix Representation

Decimal 3223152
Binary 1100010010111001110000 (22 bits)
Octal 0o14227160
Hexadecimal 0x312E70

Divisor Catalog (60)

Collatz Trajectory (239 steps to reach 1)

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

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