3,657,686

2 × 17 × 179 × 601

Starting at 3,657,686, the Collatz iteration reaches 1 after 141 steps. The first transition is 1828843; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 179 × 601

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,851,440

Proper Divisor Sum 2,193,754

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3657679 ← → #3657691

Radix Representation

Decimal	3657686
Binary	1101111100111111010110 (22 bits)
Octal	0o15747726
Hexadecimal	0x37CFD6

Divisor Catalog (16)

1 2 17 34 179 358 601 1,202 3,043 6,086 10,217 20,434 107,579 215,158 1,828,843 3,657,686

Collatz Trajectory (141 steps to reach 1)

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

3,657,686 1,828,843 5,486,530 2,743,265 8,229,796 4,114,898 2,057,449 6,172,348 3,086,174 1,543,087 4,629,262 2,314,631 6,943,894 3,471,947 10,415,842 5,207,921 15,623,764 7,811,882 3,905,941 11,717,824 5,858,912 2,929,456 1,464,728 732,364 366,182 183,091 549,274 274,637 823,912 411,956 205,978 102,989 308,968 154,484 77,242 38,621 115,864 57,932 28,966 14,483 43,450 21,725 65,176 32,588 16,294 8,147 24,442 12,221 36,664 18,332 9,166 4,583 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206

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