λ
Harmonic Matrix

3,453,324

22 × 3 × 73 × 839
Abundant Even Composite

3,453,324 has digital root 6. The neighboring primes are 3453313 and 3453337; its proper-divisor sum differs from the starting integer by 2,501,352.

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Prime Factor Structure

Factorization String 2^2 × 3 × 7^3 × 839
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,408,000
Proper Divisor Sum 5,954,676
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3453313 ← → #3453337

Radix Representation

Decimal 3453324
Binary 1101001011000110001100 (22 bits)
Octal 0o15130614
Hexadecimal 0x34B18C

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (146 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

3,453,324 1,726,662 863,331 2,589,994 1,294,997

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