λ
Harmonic Matrix

2,628,270

2 × 32 × 5 × 19 × 29 × 53
Abundant Even Composite

2,628,270 has digital root 9. The neighboring primes are 2628229 and 2628277; its proper-divisor sum differs from the starting integer by 2,325,060.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 19 × 29 × 53
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 7,581,600
Proper Divisor Sum 4,953,330
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2628229 ← → #2628277

Radix Representation

Decimal 2628270
Binary 1010000001101010101110 (22 bits)
Octal 0o12015256
Hexadecimal 0x281AAE

Divisor Catalog (5 of 96)

1 2 3 5 6

Collatz Trajectory (68 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.

2,628,270 1,314,135 3,942,406 1,971,203 5,913,610

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