329,256

2³ × 3² × 17 × 269

Starting at 329,256, the Collatz iteration reaches 1 after 65 steps. The first transition is 164628; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 947,700

Proper Divisor Sum 618,444

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #329243 ← → #329257

Radix Representation

Decimal	329256
Binary	1010000011000101000 (19 bits)
Octal	0o1203050
Hexadecimal	0x50628

Divisor Catalog (48)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 269 306 408 538 612 807 1,076 1,224 1,614 2,152 2,421 3,228 4,573 4,842 6,456 9,146 9,684 13,719 18,292 19,368 27,438 36,584 41,157 54,876 82,314 109,752 164,628 329,256

Collatz Trajectory (65 steps to reach 1)

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

329,256 164,628 82,314 41,157 123,472 61,736 30,868 15,434 7,717 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10

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