λ
Prime Ledger

6,667,341

3 × 821 × 2707
Deficient Odd Composite

6,667,341 has the prime decomposition 3 × 821 × 2707. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 821 × 2707
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,903,904
Proper Divisor Sum 2,236,563
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6667337 ← → #6667343

Radix Representation

Decimal 6667341
Binary 11001011011110001001101 (23 bits)
Octal 0o31336115
Hexadecimal 0x65BC4D

Divisor Catalog (8)

1 3 821 2,463 2,707 8,121 2,222,447 6,667,341

Collatz Trajectory (116 steps to reach 1)

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

6,667,341 20,002,024 10,001,012 5,000,506 2,500,253 7,500,760 3,750,380 1,875,190 937,595 2,812,786 1,406,393 4,219,180 2,109,590 1,054,795 3,164,386 1,582,193 4,746,580 2,373,290 1,186,645 3,559,936 1,779,968 889,984 444,992 222,496 111,248 55,624 27,812 13,906 6,953 20,860 10,430 5,215 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054

More profiles

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