λ
Harmonic Matrix

5,642,682

2 × 3 × 23 × 31 × 1319
Abundant Even Composite

5,642,682 has digital root 6. The neighboring primes are 5642669 and 5642687; its proper-divisor sum differs from the starting integer by 879,756.

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Prime Factor Structure

Factorization String 2 × 3 × 23 × 31 × 1319
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,165,120
Proper Divisor Sum 6,522,438
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5642669 ← → #5642687

Radix Representation

Decimal 5642682
Binary 10101100001100110111010 (23 bits)
Octal 0o25414672
Hexadecimal 0x5619BA

Divisor Catalog (5 of 32)

1 2 3 6 23

Collatz Trajectory (108 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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