λ
Harmonic Matrix

6,978,982

2 × 23 × 151717
Deficient Even Composite

6,978,982 has digital root 4. The neighboring primes are 6978973 and 6978991; its proper-divisor sum differs from the starting integer by -3,034,268.

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Prime Factor Structure

Factorization String 2 × 23 × 151717
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,923,696
Proper Divisor Sum 3,944,714
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #6978973 ← → #6978991

Radix Representation

Decimal 6978982
Binary 11010100111110110100110 (23 bits)
Octal 0o32476646
Hexadecimal 0x6A7DA6

Divisor Catalog (5 of 8)

1 2 23 46 151,717

Collatz Trajectory (191 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.

6,978,982 3,489,491 10,468,474 5,234,237 15,702,712

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