λ
Sigma Notebook

216,606

2 × 3 × 13 × 2777
Abundant Even Composite

216,606 is even and not a perfect square. Its factorization is 2 × 3 × 13 × 2777 and its 16 divisors sum to 466,704.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 2777
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 466,704
Proper Divisor Sum 250,098
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #216577 ← → #216607

Radix Representation

Decimal 216606
Binary 110100111000011110 (18 bits)
Octal 0o647036
Hexadecimal 0x34E1E

Divisor Catalog (16)

1 2 3 6 13 26 39 78 2,777 5,554 8,331 16,662 36,101 72,202 108,303 216,606

Collatz Trajectory (142 steps to reach 1)

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

216,606 108,303 324,910 162,455 487,366 243,683 731,050 365,525 1,096,576 548,288 274,144 137,072 68,536 34,268 17,134 8,567 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233

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