λ
Harmonic Matrix

8,340,015

3 × 5 × 41 × 71 × 191
Deficient Odd Composite

8,340,015 has digital root 3. The neighboring primes are 8339987 and 8340041; its proper-divisor sum differs from the starting integer by -2,745,438.

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Prime Factor Structure

Factorization String 3 × 5 × 41 × 71 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,934,592
Proper Divisor Sum 5,594,577
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8339987 ← → #8340041

Radix Representation

Decimal 8340015
Binary 11111110100001000101111 (23 bits)
Octal 0o37641057
Hexadecimal 0x7F422F

Divisor Catalog (5 of 32)

1 3 5 15 41

Collatz Trajectory (199 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.

8,340,015 25,020,046 12,510,023 37,530,070 18,765,035

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