3,208,208

2⁴ × 200513

Starting at 3,208,208, the Collatz iteration reaches 1 after 94 steps. The first transition is 1604104; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 200513

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 6,215,934

Proper Divisor Sum 3,007,726

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3208193 ← → #3208211

Radix Representation

Decimal	3208208
Binary	1100001111010000010000 (22 bits)
Octal	0o14172020
Hexadecimal	0x30F410

Divisor Catalog (10)

1 2 4 8 16 200,513 401,026 802,052 1,604,104 3,208,208

Collatz Trajectory (94 steps to reach 1)

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

3,208,208 1,604,104 802,052 401,026 200,513 601,540 300,770 150,385 451,156 225,578 112,789 338,368 169,184 84,592 42,296 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395

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