210,634

2 × 19 × 23 × 241

Starting at 210,634, the Collatz iteration reaches 1 after 142 steps. The first transition is 105317; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 23 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 348,480

Proper Divisor Sum 137,846

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #210631 ← → #210643

Radix Representation

Decimal	210634
Binary	110011011011001010 (18 bits)
Octal	0o633312
Hexadecimal	0x336CA

Divisor Catalog (16)

1 2 19 23 38 46 241 437 482 874 4,579 5,543 9,158 11,086 105,317 210,634

Collatz Trajectory (142 steps to reach 1)

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

210,634 105,317 315,952 157,976 78,988 39,494 19,747 59,242 29,621 88,864 44,432 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 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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