98,094

2 × 3 × 16349

Starting at 98,094, the Collatz iteration reaches 1 after 115 steps. The first transition is 49047; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 16349

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 196,200

Proper Divisor Sum 98,106

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #98081 ← → #98101

Radix Representation

Decimal	98094
Binary	10111111100101110 (17 bits)
Octal	0o277456
Hexadecimal	0x17F2E

Divisor Catalog (8)

1 2 3 6 16,349 32,698 49,047 98,094

Collatz Trajectory (115 steps to reach 1)

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

98,094 49,047 147,142 73,571 220,714 110,357 331,072 165,536 82,768 41,384 20,692 10,346 5,173 15,520 7,760 3,880 1,940 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 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

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