3,666,803

7 × 523829

Starting at 3,666,803, the Collatz iteration reaches 1 after 172 steps. The first transition is 11000410; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 523829

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,190,640

Proper Divisor Sum 523,837

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3666797 ← → #3666809

Radix Representation

Decimal	3666803
Binary	1101111111001101110011 (22 bits)
Octal	0o15771563
Hexadecimal	0x37F373

Divisor Catalog (4)

1 7 523,829 3,666,803

Collatz Trajectory (172 steps to reach 1)

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

3,666,803 11,000,410 5,500,205 16,500,616 8,250,308 4,125,154 2,062,577 6,187,732 3,093,866 1,546,933 4,640,800 2,320,400 1,160,200 580,100 290,050 145,025 435,076 217,538 108,769 326,308 163,154 81,577 244,732 122,366 61,183 183,550 91,775 275,326 137,663 412,990 206,495 619,486 309,743 929,230 464,615 1,393,846 696,923 2,090,770 1,045,385 3,136,156 1,568,078 784,039 2,352,118 1,176,059 3,528,178 1,764,089 5,292,268 2,646,134 1,323,067 3,969,202 1,984,601 5,953,804 2,976,902 1,488,451 4,465,354 2,232,677 6,698,032 3,349,016 1,674,508 837,254

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