3,282,004

2² × 11² × 6781

Starting at 3,282,004, the Collatz iteration reaches 1 after 133 steps. The first transition is 1641002; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 6781

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 6,314,042

Proper Divisor Sum 3,032,038

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3281987 ← → #3282029

Radix Representation

Decimal	3282004
Binary	1100100001010001010100 (22 bits)
Octal	0o14412124
Hexadecimal	0x321454

Divisor Catalog (18)

1 2 4 11 22 44 121 242 484 6,781 13,562 27,124 74,591 149,182 298,364 820,501 1,641,002 3,282,004

Collatz Trajectory (133 steps to reach 1)

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

3,282,004 1,641,002 820,501 2,461,504 1,230,752 615,376 307,688 153,844 76,922 38,461 115,384 57,692 28,846 14,423 43,270 21,635 64,906 32,453 97,360 48,680 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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