λ
Harmonic Matrix

884,040

23 × 3 × 5 × 53 × 139
Abundant Even Composite

884,040 has digital root 6. The neighboring primes are 884029 and 884057; its proper-divisor sum differs from the starting integer by 953,520.

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Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 53 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 2,721,600
Proper Divisor Sum 1,837,560
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #884029 ← → #884057

Radix Representation

Decimal 884040
Binary 11010111110101001000 (20 bits)
Octal 0o3276510
Hexadecimal 0xD7D48

Divisor Catalog (5 of 64)

1 2 3 4 5

Collatz Trajectory (126 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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