λ
Harmonic Matrix

1,967,252

22 × 72 × 10037
Abundant Even Composite

1,967,252 has digital root 5. The neighboring primes are 1967243 and 1967261; its proper-divisor sum differs from the starting integer by 70,658.

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Prime Factor Structure

Factorization String 2^2 × 7^2 × 10037
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 4,005,162
Proper Divisor Sum 2,037,910
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1967243 ← → #1967261

Radix Representation

Decimal 1967252
Binary 111100000010010010100 (21 bits)
Octal 0o7402224
Hexadecimal 0x1E0494

Divisor Catalog (5 of 18)

1 2 4 7 14

Collatz Trajectory (91 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.

1,967,252 983,626 491,813 1,475,440 737,720

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