λ
Harmonic Matrix

8,062,950

2 × 3 × 52 × 72 × 1097
Abundant Even Composite

8,062,950 has digital root 3. The neighboring primes are 8062933 and 8062963; its proper-divisor sum differs from the starting integer by 7,156,092.

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Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7^2 × 1097
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 23,281,992
Proper Divisor Sum 15,219,042
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8062933 ← → #8062963

Radix Representation

Decimal 8062950
Binary 11110110000011111100110 (23 bits)
Octal 0o36603746
Hexadecimal 0x7B07E6

Divisor Catalog (5 of 72)

1 2 3 5 6

Collatz Trajectory (186 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.

8,062,950 4,031,475 12,094,426 6,047,213 18,141,640

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