λ
Integer Codex

6,772,341

3 × 17 × 19 × 29 × 241
Deficient Odd Composite

For 6,772,341, the 32 positive divisors have a total of 10,454,400. Removing 6,772,341 leaves 3,682,059, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3 × 17 × 19 × 29 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,454,400
Proper Divisor Sum 3,682,059
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6772333 ← → #6772343

Radix Representation

Decimal 6772341
Binary 11001110101011001110101 (23 bits)
Octal 0o31653165
Hexadecimal 0x675675

Divisor Catalog (5 of 32)

1 3 17 19 29

Collatz Trajectory (108 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.

6,772,341 20,317,024 10,158,512 5,079,256 2,539,628

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