3,208,338

2 × 3² × 7 × 25463

Starting at 3,208,338, the Collatz iteration reaches 1 after 120 steps. The first transition is 1604169; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 25463

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,944,768

Proper Divisor Sum 4,736,430

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3208333 ← → #3208343

Radix Representation

Decimal	3208338
Binary	1100001111010010010010 (22 bits)
Octal	0o14172222
Hexadecimal	0x30F492

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 25,463 50,926 76,389 152,778 178,241 229,167 356,482 458,334 534,723 1,069,446 1,604,169 3,208,338

Collatz Trajectory (120 steps to reach 1)

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

3,208,338 1,604,169 4,812,508 2,406,254 1,203,127 3,609,382 1,804,691 5,414,074 2,707,037 8,121,112 4,060,556 2,030,278 1,015,139 3,045,418 1,522,709 4,568,128 2,284,064 1,142,032 571,016 285,508 142,754 71,377 214,132 107,066 53,533 160,600 80,300 40,150 20,075 60,226 30,113 90,340 45,170 22,585 67,756 33,878 16,939 50,818 25,409 76,228 38,114 19,057 57,172 28,586 14,293 42,880 21,440 10,720 5,360 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400

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