λ
Harmonic Matrix

2,448,520

23 × 5 × 41 × 1493
Abundant Even Composite

2,448,520 has digital root 7. The neighboring primes are 2448491 and 2448529; its proper-divisor sum differs from the starting integer by 750,280.

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Prime Factor Structure

Factorization String 2^3 × 5 × 41 × 1493
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,647,320
Proper Divisor Sum 3,198,800
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2448491 ← → #2448529

Radix Representation

Decimal 2448520
Binary 1001010101110010001000 (22 bits)
Octal 0o11256210
Hexadecimal 0x255C88

Divisor Catalog (5 of 32)

1 2 4 5 8

Collatz Trajectory (205 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.

2,448,520 1,224,260 612,130 306,065 918,196

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