λ
Harmonic Matrix

8,013,817

7 × 17 × 67343
Deficient Odd Composite

8,013,817 has digital root 1. The neighboring primes are 8013809 and 8013857; its proper-divisor sum differs from the starting integer by -6,330,098.

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Prime Factor Structure

Factorization String 7 × 17 × 67343
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,697,536
Proper Divisor Sum 1,683,719
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8013809 ← → #8013857

Radix Representation

Decimal 8013817
Binary 11110100100011111111001 (23 bits)
Octal 0o36443771
Hexadecimal 0x7A47F9

Divisor Catalog (5 of 8)

Collatz Trajectory (142 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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