3,667,806

2 × 3² × 203767

3,667,806 has digital root 9. The neighboring primes are 3667753 and 3667823; its proper-divisor sum differs from the starting integer by 611,340.

Prime Factor Structure

Factorization String 2 × 3^2 × 203767

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,946,952

Proper Divisor Sum 4,279,146

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3667753 ← → #3667823

Radix Representation

Decimal	3667806
Binary	1101111111011101011110 (22 bits)
Octal	0o15773536
Hexadecimal	0x37F75E

Divisor Catalog (12)

1 2 3 6 9 18 203,767 407,534 611,301 1,222,602 1,833,903 3,667,806

Collatz Trajectory (234 steps to reach 1)

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

3,667,806 1,833,903 5,501,710 2,750,855 8,252,566 4,126,283 12,378,850 6,189,425 18,568,276 9,284,138 4,642,069 13,926,208 6,963,104 3,481,552 1,740,776 870,388 435,194 217,597 652,792 326,396 163,198 81,599 244,798 122,399 367,198 183,599 550,798 275,399 826,198 413,099 1,239,298 619,649 1,858,948 929,474 464,737 1,394,212 697,106 348,553 1,045,660 522,830 261,415 784,246 392,123 1,176,370 588,185 1,764,556 882,278 441,139 1,323,418 661,709 1,985,128 992,564 496,282 248,141 744,424 372,212 186,106 93,053 279,160 139,580

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