λ
Harmonic Matrix

822,627

32 × 13 × 79 × 89
Deficient Odd Composite

822,627 has digital root 9. The neighboring primes are 822611 and 822631; its proper-divisor sum differs from the starting integer by -334,854.

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Prime Factor Structure

Factorization String 3^2 × 13 × 79 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,310,400
Proper Divisor Sum 487,773
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #822611 ← → #822631

Radix Representation

Decimal 822627
Binary 11001000110101100011 (20 bits)
Octal 0o3106543
Hexadecimal 0xC8D63

Divisor Catalog (5 of 24)

1 3 9 13 39

Collatz Trajectory (131 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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