3,674,668

2² × 167 × 5501

Starting at 3,674,668, the Collatz iteration reaches 1 after 110 steps. The first transition is 1837334; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 167 × 5501

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,470,352

Proper Divisor Sum 2,795,684

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3674663 ← → #3674689

Radix Representation

Decimal	3674668
Binary	1110000001001000101100 (22 bits)
Octal	0o16011054
Hexadecimal	0x38122C

Divisor Catalog (12)

1 2 4 167 334 668 5,501 11,002 22,004 918,667 1,837,334 3,674,668

Collatz Trajectory (110 steps to reach 1)

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

3,674,668 1,837,334 918,667 2,756,002 1,378,001 4,134,004 2,067,002 1,033,501 3,100,504 1,550,252 775,126 387,563 1,162,690 581,345 1,744,036 872,018 436,009 1,308,028 654,014 327,007 981,022 490,511 1,471,534 735,767 2,207,302 1,103,651 3,310,954 1,655,477 4,966,432 2,483,216 1,241,608 620,804 310,402 155,201 465,604 232,802 116,401 349,204 174,602 87,301 261,904 130,952 65,476 32,738 16,369 49,108 24,554 12,277 36,832 18,416 9,208 4,604 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887

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