210,426

2 × 3 × 17 × 2063

Starting at 210,426, the Collatz iteration reaches 1 after 67 steps. The first transition is 105213; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 2063

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 445,824

Proper Divisor Sum 235,398

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #210421 ← → #210437

Radix Representation

Decimal	210426
Binary	110011010111111010 (18 bits)
Octal	0o632772
Hexadecimal	0x335FA

Divisor Catalog (16)

1 2 3 6 17 34 51 102 2,063 4,126 6,189 12,378 35,071 70,142 105,213 210,426

Collatz Trajectory (67 steps to reach 1)

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

210,426 105,213 315,640 157,820 78,910 39,455 118,366 59,183 177,550 88,775 266,326 133,163 399,490 199,745 599,236 299,618 149,809 449,428 224,714 112,357 337,072 168,536 84,268 42,134 21,067 63,202 31,601 94,804 47,402 23,701 71,104 35,552 17,776 8,888 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40

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