7,384,434

2 × 3 × 1230739

Starting at 7,384,434, the Collatz iteration reaches 1 after 235 steps. The first transition is 3692217; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1230739

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,768,880

Proper Divisor Sum 7,384,446

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7384411 ← → #7384439

Radix Representation

Decimal	7384434
Binary	11100001010110101110010 (23 bits)
Octal	0o34126562
Hexadecimal	0x70AD72

Divisor Catalog (8)

1 2 3 6 1,230,739 2,461,478 3,692,217 7,384,434

Collatz Trajectory (235 steps to reach 1)

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

7,384,434 3,692,217 11,076,652 5,538,326 2,769,163 8,307,490 4,153,745 12,461,236 6,230,618 3,115,309 9,345,928 4,672,964 2,336,482 1,168,241 3,504,724 1,752,362 876,181 2,628,544 1,314,272 657,136 328,568 164,284 82,142 41,071 123,214 61,607 184,822 92,411 277,234 138,617 415,852 207,926 103,963 311,890 155,945 467,836 233,918 116,959 350,878 175,439 526,318 263,159 789,478 394,739 1,184,218 592,109 1,776,328 888,164 444,082 222,041 666,124 333,062 166,531 499,594 249,797 749,392 374,696 187,348 93,674 46,837

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