8,238,332

2² × 359 × 5737

Starting at 8,238,332, the Collatz iteration reaches 1 after 336 steps. The first transition is 4119166; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 359 × 5737

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,459,760

Proper Divisor Sum 6,221,428

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8238299 ← → #8238337

Radix Representation

Decimal	8238332
Binary	11111011011010011111100 (23 bits)
Octal	0o37332374
Hexadecimal	0x7DB4FC

Divisor Catalog (12)

1 2 4 359 718 1,436 5,737 11,474 22,948 2,059,583 4,119,166 8,238,332

Collatz Trajectory (336 steps to reach 1)

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

8,238,332 4,119,166 2,059,583 6,178,750 3,089,375 9,268,126 4,634,063 13,902,190 6,951,095 20,853,286 10,426,643 31,279,930 15,639,965 46,919,896 23,459,948 11,729,974 5,864,987 17,594,962 8,797,481 26,392,444 13,196,222 6,598,111 19,794,334 9,897,167 29,691,502 14,845,751 44,537,254 22,268,627 66,805,882 33,402,941 100,208,824 50,104,412 25,052,206 12,526,103 37,578,310 18,789,155 56,367,466 28,183,733 84,551,200 42,275,600 21,137,800 10,568,900 5,284,450 2,642,225 7,926,676 3,963,338 1,981,669 5,945,008 2,972,504 1,486,252 743,126 371,563 1,114,690 557,345 1,672,036 836,018 418,009 1,254,028 627,014 313,507

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