λ
Harmonic Matrix

817,986

2 × 3 × 13 × 10487
Abundant Even Composite

817,986 has digital root 3. The neighboring primes are 817979 and 817987; its proper-divisor sum differs from the starting integer by 126,012.

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Prime Factor Structure

Factorization String 2 × 3 × 13 × 10487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,761,984
Proper Divisor Sum 943,998
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #817979 ← → #817987

Radix Representation

Decimal 817986
Binary 11000111101101000010 (20 bits)
Octal 0o3075502
Hexadecimal 0xC7B42

Divisor Catalog (5 of 16)

1 2 3 6 13

Collatz Trajectory (162 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.

817,986 408,993 1,226,980 613,490 306,745

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