λ
Harmonic Matrix

6,785,754

2 × 3 × 17 × 71 × 937
Abundant Even Composite

6,785,754 has digital root 6. The neighboring primes are 6785741 and 6785761; its proper-divisor sum differs from the starting integer by 1,016,268.

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Prime Factor Structure

Factorization String 2 × 3 × 17 × 71 × 937
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,587,776
Proper Divisor Sum 7,802,022
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6785741 ← → #6785761

Radix Representation

Decimal 6785754
Binary 11001111000101011011010 (23 bits)
Octal 0o31705332
Hexadecimal 0x678ADA

Divisor Catalog (5 of 32)

1 2 3 6 17

Collatz Trajectory (178 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.

6,785,754 3,392,877 10,178,632 5,089,316 2,544,658

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