λ
Harmonic Matrix

7,830,742

2 × 3915371
Deficient Even Composite

7,830,742 has digital root 4. The neighboring primes are 7830737 and 7830763; its proper-divisor sum differs from the starting integer by -3,915,368.

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Prime Factor Structure

Factorization String 2 × 3915371
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,746,116
Proper Divisor Sum 3,915,374
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7830737 ← → #7830763

Radix Representation

Decimal 7830742
Binary 11101110111110011010110 (23 bits)
Octal 0o35676326
Hexadecimal 0x777CD6

Divisor Catalog (4)

Collatz Trajectory (173 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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