200,606

2 × 7² × 23 × 89

Starting at 200,606, the Collatz iteration reaches 1 after 67 steps. The first transition is 100303; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 23 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 369,360

Proper Divisor Sum 168,754

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #200597 ← → #200609

Radix Representation

Decimal	200606
Binary	110000111110011110 (18 bits)
Octal	0o607636
Hexadecimal	0x30F9E

Divisor Catalog (24)

1 2 7 14 23 46 49 89 98 161 178 322 623 1,127 1,246 2,047 2,254 4,094 4,361 8,722 14,329 28,658 100,303 200,606

Collatz Trajectory (67 steps to reach 1)

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

200,606 100,303 300,910 150,455 451,366 225,683 677,050 338,525 1,015,576 507,788 253,894 126,947 380,842 190,421 571,264 285,632 142,816 71,408 35,704 17,852 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40

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