243,090

2 × 3² × 5 × 37 × 73

Starting at 243,090, the Collatz iteration reaches 1 after 137 steps. The first transition is 121545; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 37 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 658,008

Proper Divisor Sum 414,918

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #243077 ← → #243091

Radix Representation

Decimal	243090
Binary	111011010110010010 (18 bits)
Octal	0o732622
Hexadecimal	0x3B592

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 37 45 73 74 90 111 146 185 219 222 333 365 370 438 555 657 666 730 1,095 1,110 1,314 1,665 2,190 2,701 3,285 3,330 5,402 6,570 8,103 13,505 16,206 24,309 27,010 40,515 48,618 81,030 121,545 243,090

Collatz Trajectory (137 steps to reach 1)

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

243,090 121,545 364,636 182,318 91,159 273,478 136,739 410,218 205,109 615,328 307,664 153,832 76,916 38,458 19,229 57,688 28,844 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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