8,020,164

2² × 3 × 668347

Starting at 8,020,164, the Collatz iteration reaches 1 after 217 steps. The first transition is 4010082; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 668347

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,713,744

Proper Divisor Sum 10,693,580

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8020151 ← → #8020183

Radix Representation

Decimal	8020164
Binary	11110100110000011000100 (23 bits)
Octal	0o36460304
Hexadecimal	0x7A60C4

Divisor Catalog (12)

1 2 3 4 6 12 668,347 1,336,694 2,005,041 2,673,388 4,010,082 8,020,164

Collatz Trajectory (217 steps to reach 1)

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

8,020,164 4,010,082 2,005,041 6,015,124 3,007,562 1,503,781 4,511,344 2,255,672 1,127,836 563,918 281,959 845,878 422,939 1,268,818 634,409 1,903,228 951,614 475,807 1,427,422 713,711 2,141,134 1,070,567 3,211,702 1,605,851 4,817,554 2,408,777 7,226,332 3,613,166 1,806,583 5,419,750 2,709,875 8,129,626 4,064,813 12,194,440 6,097,220 3,048,610 1,524,305 4,572,916 2,286,458 1,143,229 3,429,688 1,714,844 857,422 428,711 1,286,134 643,067 1,929,202 964,601 2,893,804 1,446,902 723,451 2,170,354 1,085,177 3,255,532 1,627,766 813,883 2,441,650 1,220,825 3,662,476 1,831,238

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