λ
Harmonic Matrix

5,361,642

2 × 32 × 11 × 13 × 2083
Abundant Even Composite

5,361,642 has digital root 9. The neighboring primes are 5361641 and 5361659; its proper-divisor sum differs from the starting integer by 2,931,084.

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Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 13 × 2083
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,654,368
Proper Divisor Sum 8,292,726
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5361641 ← → #5361659

Radix Representation

Decimal 5361642
Binary 10100011100111111101010 (23 bits)
Octal 0o24347752
Hexadecimal 0x51CFEA

Divisor Catalog (5 of 48)

1 2 3 6 9

Collatz Trajectory (139 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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