4,304,238

2 × 3 × 29² × 853

Starting at 4,304,238, the Collatz iteration reaches 1 after 180 steps. The first transition is 2152119; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 29^2 × 853

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,926,008

Proper Divisor Sum 4,621,770

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4304231 ← → #4304249

Radix Representation

Decimal	4304238
Binary	10000011010110101101110 (23 bits)
Octal	0o20326556
Hexadecimal	0x41AD6E

Divisor Catalog (24)

1 2 3 6 29 58 87 174 841 853 1,682 1,706 2,523 2,559 5,046 5,118 24,737 49,474 74,211 148,422 717,373 1,434,746 2,152,119 4,304,238

Collatz Trajectory (180 steps to reach 1)

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

4,304,238 2,152,119 6,456,358 3,228,179 9,684,538 4,842,269 14,526,808 7,263,404 3,631,702 1,815,851 5,447,554 2,723,777 8,171,332 4,085,666 2,042,833 6,128,500 3,064,250 1,532,125 4,596,376 2,298,188 1,149,094 574,547 1,723,642 861,821 2,585,464 1,292,732 646,366 323,183 969,550 484,775 1,454,326 727,163 2,181,490 1,090,745 3,272,236 1,636,118 818,059 2,454,178 1,227,089 3,681,268 1,840,634 920,317 2,760,952 1,380,476 690,238 345,119 1,035,358 517,679 1,553,038 776,519 2,329,558 1,164,779 3,494,338 1,747,169 5,241,508 2,620,754 1,310,377 3,931,132 1,965,566 982,783

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