λ
Harmonic Matrix

6,978,609

33 × 11 × 23497
Deficient Odd Composite

6,978,609 has digital root 9. The neighboring primes are 6978593 and 6978613; its proper-divisor sum differs from the starting integer by -2,678,178.

Prime Factor Structure

Factorization String 3^3 × 11 × 23497
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,279,040
Proper Divisor Sum 4,300,431
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6978593 ← → #6978613

Radix Representation

Decimal 6978609
Binary 11010100111110000110001 (23 bits)
Octal 0o32476061
Hexadecimal 0x6A7C31

Divisor Catalog (16)

Collatz Trajectory (103 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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