6,684,067

13 × 19 × 27061

Starting at 6,684,067, the Collatz iteration reaches 1 after 147 steps. The first transition is 20052202; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 19 × 27061

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,577,360

Proper Divisor Sum 893,293

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6684061 ← → #6684089

Radix Representation

Decimal	6684067
Binary	11001011111110110100011 (23 bits)
Octal	0o31376643
Hexadecimal	0x65FDA3

Divisor Catalog (8)

1 13 19 247 27,061 351,793 514,159 6,684,067

Collatz Trajectory (147 steps to reach 1)

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

6,684,067 20,052,202 10,026,101 30,078,304 15,039,152 7,519,576 3,759,788 1,879,894 939,947 2,819,842 1,409,921 4,229,764 2,114,882 1,057,441 3,172,324 1,586,162 793,081 2,379,244 1,189,622 594,811 1,784,434 892,217 2,676,652 1,338,326 669,163 2,007,490 1,003,745 3,011,236 1,505,618 752,809 2,258,428 1,129,214 564,607 1,693,822 846,911 2,540,734 1,270,367 3,811,102 1,905,551 5,716,654 2,858,327 8,574,982 4,287,491 12,862,474 6,431,237 19,293,712 9,646,856 4,823,428 2,411,714 1,205,857 3,617,572 1,808,786 904,393 2,713,180 1,356,590 678,295 2,034,886 1,017,443 3,052,330 1,526,165

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