3,082,124

2² × 233 × 3307

Starting at 3,082,124, the Collatz iteration reaches 1 after 195 steps. The first transition is 1541062; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 233 × 3307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,418,504

Proper Divisor Sum 2,336,380

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3082103 ← → #3082127

Radix Representation

Decimal	3082124
Binary	1011110000011110001100 (22 bits)
Octal	0o13603614
Hexadecimal	0x2F078C

Divisor Catalog (12)

1 2 4 233 466 932 3,307 6,614 13,228 770,531 1,541,062 3,082,124

Collatz Trajectory (195 steps to reach 1)

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

3,082,124 1,541,062 770,531 2,311,594 1,155,797 3,467,392 1,733,696 866,848 433,424 216,712 108,356 54,178 27,089 81,268 40,634 20,317 60,952 30,476 15,238 7,619 22,858 11,429 34,288 17,144 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266

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