6,434,814

2 × 3 × 67 × 16007

Starting at 6,434,814, the Collatz iteration reaches 1 after 95 steps. The first transition is 3217407; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 67 × 16007

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,062,528

Proper Divisor Sum 6,627,714

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6434773 ← → #6434833

Radix Representation

Decimal	6434814
Binary	11000100010111111111110 (23 bits)
Octal	0o30427776
Hexadecimal	0x622FFE

Divisor Catalog (16)

1 2 3 6 67 134 201 402 16,007 32,014 48,021 96,042 1,072,469 2,144,938 3,217,407 6,434,814

Collatz Trajectory (95 steps to reach 1)

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

6,434,814 3,217,407 9,652,222 4,826,111 14,478,334 7,239,167 21,717,502 10,858,751 32,576,254 16,288,127 48,864,382 24,432,191 73,296,574 36,648,287 109,944,862 54,972,431 164,917,294 82,458,647 247,375,942 123,687,971 371,063,914 185,531,957 556,595,872 278,297,936 139,148,968 69,574,484 34,787,242 17,393,621 52,180,864 26,090,432 13,045,216 6,522,608 3,261,304 1,630,652 815,326 407,663 1,222,990 611,495 1,834,486 917,243 2,751,730 1,375,865 4,127,596 2,063,798 1,031,899 3,095,698 1,547,849 4,643,548 2,321,774 1,160,887 3,482,662 1,741,331 5,223,994 2,611,997 7,835,992 3,917,996 1,958,998 979,499 2,938,498 1,469,249

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