212,889

3 × 29 × 2447

Starting at 212,889, the Collatz iteration reaches 1 after 142 steps. The first transition is 638668; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 2447

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 293,760

Proper Divisor Sum 80,871

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #212881 ← → #212897

Radix Representation

Decimal	212889
Binary	110011111110011001 (18 bits)
Octal	0o637631
Hexadecimal	0x33F99

Divisor Catalog (8)

1 3 29 87 2,447 7,341 70,963 212,889

Collatz Trajectory (142 steps to reach 1)

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

212,889 638,668 319,334 159,667 479,002 239,501 718,504 359,252 179,626 89,813 269,440 134,720 67,360 33,680 16,840 8,420 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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