λ
Harmonic Matrix

699,584

26 × 17 × 643
Abundant Even Composite

699,584 has digital root 5. The neighboring primes are 699581 and 699617; its proper-divisor sum differs from the starting integer by 73,016.

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Prime Factor Structure

Factorization String 2^6 × 17 × 643
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 1,472,184
Proper Divisor Sum 772,600
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #699581 ← → #699617

Radix Representation

Decimal 699584
Binary 10101010110011000000 (20 bits)
Octal 0o2526300
Hexadecimal 0xAACC0

Divisor Catalog (5 of 28)

1 2 4 8 16

Collatz Trajectory (167 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.

699,584 349,792 174,896 87,448 43,724

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