3,270,576

2⁴ × 3 × 61 × 1117

Starting at 3,270,576, the Collatz iteration reaches 1 after 164 steps. The first transition is 1635288; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 61 × 1117

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,595,184

Proper Divisor Sum 5,324,608

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3270571 ← → #3270581

Radix Representation

Decimal	3270576
Binary	1100011110011110110000 (22 bits)
Octal	0o14363660
Hexadecimal	0x31E7B0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1,117 1,464 2,234 2,928 3,351 4,468 6,702 8,936 13,404 17,872 26,808 53,616 68,137 136,274 204,411 272,548 408,822 545,096 817,644 1,090,192 1,635,288 3,270,576

Collatz Trajectory (164 steps to reach 1)

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

3,270,576 1,635,288 817,644 408,822 204,411 613,234 306,617 919,852 459,926 229,963 689,890 344,945 1,034,836 517,418 258,709 776,128 388,064 194,032 97,016 48,508 24,254 12,127 36,382 18,191 54,574 27,287 81,862 40,931 122,794 61,397 184,192 92,096 46,048 23,024 11,512 5,756 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762

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