7,338,138

2 × 3 × 271 × 4513

Starting at 7,338,138, the Collatz iteration reaches 1 after 204 steps. The first transition is 3669069; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 271 × 4513

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,733,696

Proper Divisor Sum 7,395,558

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7338137 ← → #7338181

Radix Representation

Decimal	7338138
Binary	11011111111100010011010 (23 bits)
Octal	0o33774232
Hexadecimal	0x6FF89A

Divisor Catalog (16)

1 2 3 6 271 542 813 1,626 4,513 9,026 13,539 27,078 1,223,023 2,446,046 3,669,069 7,338,138

Collatz Trajectory (204 steps to reach 1)

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

7,338,138 3,669,069 11,007,208 5,503,604 2,751,802 1,375,901 4,127,704 2,063,852 1,031,926 515,963 1,547,890 773,945 2,321,836 1,160,918 580,459 1,741,378 870,689 2,612,068 1,306,034 653,017 1,959,052 979,526 489,763 1,469,290 734,645 2,203,936 1,101,968 550,984 275,492 137,746 68,873 206,620 103,310 51,655 154,966 77,483 232,450 116,225 348,676 174,338 87,169 261,508 130,754 65,377 196,132 98,066 49,033 147,100 73,550 36,775 110,326 55,163 165,490 82,745 248,236 124,118 62,059 186,178 93,089 279,268

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