λ
Harmonic Matrix

2,520,792

23 × 32 × 157 × 223
Abundant Even Composite

2,520,792 has digital root 9. The neighboring primes are 2520781 and 2520797; its proper-divisor sum differs from the starting integer by 1,859,856.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 157 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,901,440
Proper Divisor Sum 4,380,648
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2520781 ← → #2520797

Radix Representation

Decimal 2520792
Binary 1001100111011011011000 (22 bits)
Octal 0o11473330
Hexadecimal 0x2676D8

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (249 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.

2,520,792 1,260,396 630,198 315,099 945,298

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