296,218

2 × 13 × 11393

Starting at 296,218, the Collatz iteration reaches 1 after 114 steps. The first transition is 148109; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 11393

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 478,548

Proper Divisor Sum 182,330

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #296213 ← → #296221

Radix Representation

Decimal	296218
Binary	1001000010100011010 (19 bits)
Octal	0o1102432
Hexadecimal	0x4851A

Divisor Catalog (8)

1 2 13 26 11,393 22,786 148,109 296,218

Collatz Trajectory (114 steps to reach 1)

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

296,218 148,109 444,328 222,164 111,082 55,541 166,624 83,312 41,656 20,828 10,414 5,207 15,622 7,811 23,434 11,717 35,152 17,576 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319

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