206,214

2 × 3 × 34369

Starting at 206,214, the Collatz iteration reaches 1 after 173 steps. The first transition is 103107; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 34369

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 412,440

Proper Divisor Sum 206,226

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #206209 ← → #206221

Radix Representation

Decimal	206214
Binary	110010010110000110 (18 bits)
Octal	0o622606
Hexadecimal	0x32586

Divisor Catalog (8)

1 2 3 6 34,369 68,738 103,107 206,214

Collatz Trajectory (173 steps to reach 1)

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

206,214 103,107 309,322 154,661 463,984 231,992 115,996 57,998 28,999 86,998 43,499 130,498 65,249 195,748 97,874 48,937 146,812 73,406 36,703 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220

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