3,958,784

2¹¹ × 1933

Starting at 3,958,784, the Collatz iteration reaches 1 after 35 steps. The first transition is 1979392; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^11 × 1933

Distinct Prime Factors 2

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,919,730

Proper Divisor Sum 3,960,946

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #3958777 ← → #3958789

Radix Representation

Decimal	3958784
Binary	1111000110100000000000 (22 bits)
Octal	0o17064000
Hexadecimal	0x3C6800

Divisor Catalog (24)

1 2 4 8 16 32 64 128 256 512 1,024 1,933 2,048 3,866 7,732 15,464 30,928 61,856 123,712 247,424 494,848 989,696 1,979,392 3,958,784

Collatz Trajectory (35 steps to reach 1)

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

3,958,784 1,979,392 989,696 494,848 247,424 123,712 61,856 30,928 15,464 7,732 3,866 1,933 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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