λ
Harmonic Matrix

7,765,442

2 × 3882721
Deficient Even Composite

7,765,442 has digital root 8. The neighboring primes are 7765411 and 7765489; its proper-divisor sum differs from the starting integer by -3,882,718.

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Prime Factor Structure

Factorization String 2 × 3882721
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,648,166
Proper Divisor Sum 3,882,724
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7765411 ← → #7765489

Radix Representation

Decimal 7765442
Binary 11101100111110111000010 (23 bits)
Octal 0o35476702
Hexadecimal 0x767DC2

Divisor Catalog (4)

1 2 3,882,721 7,765,442

Collatz Trajectory (217 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.

7,765,442 3,882,721 11,648,164 5,824,082 2,912,041

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