λ
Harmonic Matrix

6,173,006

2 × 7 × 17 × 37 × 701
Deficient Even Composite

6,173,006 has digital root 5. The neighboring primes are 6173003 and 6173009; its proper-divisor sum differs from the starting integer by -821,980.

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Prime Factor Structure

Factorization String 2 × 7 × 17 × 37 × 701
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,524,032
Proper Divisor Sum 5,351,026
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6173003 ← → #6173009

Radix Representation

Decimal 6173006
Binary 10111100011000101001110 (23 bits)
Octal 0o27430516
Hexadecimal 0x5E314E

Divisor Catalog (5 of 32)

1 2 7 14 17

Collatz Trajectory (227 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.

6,173,006 3,086,503 9,259,510 4,629,755 13,889,266

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