λ
Harmonic Matrix

2,088,520

23 × 5 × 7 × 7459
Abundant Even Composite

2,088,520 has digital root 7. The neighboring primes are 2088517 and 2088547; its proper-divisor sum differs from the starting integer by 1,194,160.

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Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 7459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,371,200
Proper Divisor Sum 3,282,680
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2088517 ← → #2088547

Radix Representation

Decimal 2088520
Binary 111111101111001001000 (21 bits)
Octal 0o7757110
Hexadecimal 0x1FDE48

Divisor Catalog (5 of 32)

1 2 4 5 7

Collatz Trajectory (135 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.

2,088,520 1,044,260 522,130 261,065 783,196

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