243,658

2 × 29 × 4201

Starting at 243,658, the Collatz iteration reaches 1 after 137 steps. The first transition is 121829; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 4201

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 378,180

Proper Divisor Sum 134,522

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #243647 ← → #243671

Radix Representation

Decimal	243658
Binary	111011011111001010 (18 bits)
Octal	0o733712
Hexadecimal	0x3B7CA

Divisor Catalog (8)

1 2 29 58 4,201 8,402 121,829 243,658

Collatz Trajectory (137 steps to reach 1)

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

243,658 121,829 365,488 182,744 91,372 45,686 22,843 68,530 34,265 102,796 51,398 25,699 77,098 38,549 115,648 57,824 28,912 14,456 7,228 3,614 1,807 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 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

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