243,018

2 × 3² × 23 × 587

Starting at 243,018, the Collatz iteration reaches 1 after 212 steps. The first transition is 121509; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 587

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 550,368

Proper Divisor Sum 307,350

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #243011 ← → #243031

Radix Representation

Decimal	243018
Binary	111011010101001010 (18 bits)
Octal	0o732512
Hexadecimal	0x3B54A

Divisor Catalog (24)

1 2 3 6 9 18 23 46 69 138 207 414 587 1,174 1,761 3,522 5,283 10,566 13,501 27,002 40,503 81,006 121,509 243,018

Collatz Trajectory (212 steps to reach 1)

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

243,018 121,509 364,528 182,264 91,132 45,566 22,783 68,350 34,175 102,526 51,263 153,790 76,895 230,686 115,343 346,030 173,015 519,046 259,523 778,570 389,285 1,167,856 583,928 291,964 145,982 72,991 218,974 109,487 328,462 164,231 492,694 246,347 739,042 369,521 1,108,564 554,282 277,141 831,424 415,712 207,856 103,928 51,964 25,982 12,991 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495

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