λ
Harmonic Matrix

3,412,580

22 × 5 × 17 × 10037
Abundant Even Composite

3,412,580 has digital root 5. The neighboring primes are 3412567 and 3412583; its proper-divisor sum differs from the starting integer by 763,568.

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Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 10037
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,588,728
Proper Divisor Sum 4,176,148
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3412567 ← → #3412583

Radix Representation

Decimal 3412580
Binary 1101000001001001100100 (22 bits)
Octal 0o15011144
Hexadecimal 0x341264

Divisor Catalog (5 of 24)

1 2 4 5 10

Collatz Trajectory (76 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.

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