λ
Harmonic Matrix

5,727,064

23 × 7 × 31 × 3299
Abundant Even Composite

5,727,064 has digital root 4. The neighboring primes are 5727053 and 5727077; its proper-divisor sum differs from the starting integer by 1,217,872.

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Prime Factor Structure

Factorization String 2^3 × 7 × 31 × 3299
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,672,000
Proper Divisor Sum 6,944,936
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5727053 ← → #5727077

Radix Representation

Decimal 5727064
Binary 10101110110001101011000 (23 bits)
Octal 0o25661530
Hexadecimal 0x576358

Divisor Catalog (5 of 32)

1 2 4 7 8

Collatz Trajectory (157 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.

5,727,064 2,863,532 1,431,766 715,883 2,147,650

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