λ
Harmonic Matrix

7,837,682

2 × 103 × 38047
Deficient Even Composite

7,837,682 has digital root 5. The neighboring primes are 7837679 and 7837691; its proper-divisor sum differs from the starting integer by -3,804,388.

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Prime Factor Structure

Factorization String 2 × 103 × 38047
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,870,976
Proper Divisor Sum 4,033,294
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7837679 ← → #7837691

Radix Representation

Decimal 7837682
Binary 11101111001011111110010 (23 bits)
Octal 0o35713762
Hexadecimal 0x7797F2

Divisor Catalog (5 of 8)

Collatz Trajectory (279 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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