λ
Harmonic Matrix

8,614,920

23 × 3 × 5 × 17 × 41 × 103
Abundant Even Composite

8,614,920 has digital root 3. The neighboring primes are 8614913 and 8614939; its proper-divisor sum differs from the starting integer by 11,074,800.

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Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 17 × 41 × 103
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 28,304,640
Proper Divisor Sum 19,689,720
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8614913 ← → #8614939

Radix Representation

Decimal 8614920
Binary 100000110111010000001000 (24 bits)
Octal 0o40672010
Hexadecimal 0x837408

Divisor Catalog (5 of 128)

1 2 3 4 5

Collatz Trajectory (150 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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