λ
Harmonic Matrix

7,827,916

22 × 1956979
Deficient Even Composite

7,827,916 has digital root 4. The neighboring primes are 7827913 and 7827917; its proper-divisor sum differs from the starting integer by -1,956,972.

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Prime Factor Structure

Factorization String 2^2 × 1956979
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 13,698,860
Proper Divisor Sum 5,870,944
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7827913 ← → #7827917

Radix Representation

Decimal 7827916
Binary 11101110111000111001100 (23 bits)
Octal 0o35670714
Hexadecimal 0x7771CC

Divisor Catalog (5 of 6)

Collatz Trajectory (80 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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