λ
Harmonic Matrix

7,840,014

2 × 3 × 7 × 13 × 83 × 173
Abundant Even Composite

7,840,014 has digital root 6. The neighboring primes are 7840013 and 7840031; its proper-divisor sum differs from the starting integer by 3,963,876.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 83 × 173
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,643,904
Proper Divisor Sum 11,803,890
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7840013 ← → #7840031

Radix Representation

Decimal 7840014
Binary 11101111010000100001110 (23 bits)
Octal 0o35720416
Hexadecimal 0x77A10E

Divisor Catalog (5 of 64)

1 2 3 6 7

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.

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