λ
Harmonic Matrix

4,115,328

27 × 3 × 7 × 1531
Abundant Even Composite

4,115,328 has digital root 6. The neighboring primes are 4115317 and 4115333; its proper-divisor sum differs from the starting integer by 4,270,464.

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Prime Factor Structure

Factorization String 2^7 × 3 × 7 × 1531
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,501,120
Proper Divisor Sum 8,385,792
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4115317 ← → #4115333

Radix Representation

Decimal 4115328
Binary 1111101100101110000000 (22 bits)
Octal 0o17545600
Hexadecimal 0x3ECB80

Divisor Catalog (5 of 64)

1 2 3 4 6

Collatz Trajectory (198 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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