λ
Harmonic Matrix

888,160

25 × 5 × 7 × 13 × 61
Abundant Even Composite

888,160 has digital root 4. The neighboring primes are 888157 and 888161; its proper-divisor sum differs from the starting integer by 848,512.

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Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 13 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 2,624,832
Proper Divisor Sum 1,736,672
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #888157 ← → #888161

Radix Representation

Decimal 888160
Binary 11011000110101100000 (20 bits)
Octal 0o3306540
Hexadecimal 0xD8D60

Divisor Catalog (5 of 96)

1 2 4 5 7

Collatz Trajectory (188 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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