λ
Harmonic Matrix

1,275,646

2 × 172 × 2207
Deficient Even Composite

1,275,646 has digital root 4. The neighboring primes are 1275643 and 1275661; its proper-divisor sum differs from the starting integer by -517,724.

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Prime Factor Structure

Factorization String 2 × 17^2 × 2207
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,033,568
Proper Divisor Sum 757,922
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1275643 ← → #1275661

Radix Representation

Decimal 1275646
Binary 100110111011011111110 (21 bits)
Octal 0o4673376
Hexadecimal 0x1376FE

Divisor Catalog (5 of 12)

1 2 17 34 289

Collatz Trajectory (173 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.

1,275,646 637,823 1,913,470 956,735 2,870,206

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