λ
Harmonic Matrix

5,426,512

24 × 7 × 13 × 3727
Abundant Even Composite

5,426,512 has digital root 7. The neighboring primes are 5426507 and 5426513; its proper-divisor sum differs from the starting integer by 2,090,592.

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Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 3727
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,943,616
Proper Divisor Sum 7,517,104
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5426507 ← → #5426513

Radix Representation

Decimal 5426512
Binary 10100101100110101010000 (23 bits)
Octal 0o24546520
Hexadecimal 0x52CD50

Divisor Catalog (5 of 40)

1 2 4 7 8

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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