λ
Harmonic Matrix

627,150

2 × 3 × 52 × 37 × 113
Abundant Even Composite

627,150 has digital root 3. The neighboring primes are 627139 and 627163; its proper-divisor sum differs from the starting integer by 357,204.

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Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 37 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,611,504
Proper Divisor Sum 984,354
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #627139 ← → #627163

Radix Representation

Decimal 627150
Binary 10011001000111001110 (20 bits)
Octal 0o2310716
Hexadecimal 0x991CE

Divisor Catalog (5 of 48)

1 2 3 5 6

Collatz Trajectory (203 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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