λ
Harmonic Matrix

6,415,472

24 × 74 × 167
Abundant Even Composite

6,415,472 has digital root 2. The neighboring primes are 6415457 and 6415501; its proper-divisor sum differs from the starting integer by 1,756,664.

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Prime Factor Structure

Factorization String 2^4 × 7^4 × 167
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 50
Divisor Sum (σ) 14,587,608
Proper Divisor Sum 8,172,136
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6415457 ← → #6415501

Radix Representation

Decimal 6415472
Binary 11000011110010001110000 (23 bits)
Octal 0o30362160
Hexadecimal 0x61E470

Divisor Catalog (5 of 50)

1 2 4 7 8

Collatz Trajectory (72 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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