182,668

2² × 45667

Starting at 182,668, the Collatz iteration reaches 1 after 134 steps. The first transition is 91334; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 45667

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 319,676

Proper Divisor Sum 137,008

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #182659 ← → #182681

Radix Representation

Decimal	182668
Binary	101100100110001100 (18 bits)
Octal	0o544614
Hexadecimal	0x2C98C

Divisor Catalog (6)

1 2 4 45,667 91,334 182,668

Collatz Trajectory (134 steps to reach 1)

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

182,668 91,334 45,667 137,002 68,501 205,504 102,752 51,376 25,688 12,844 6,422 3,211 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186

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