λ
Sequence Observatory

3,962,622

2 × 3 × 43 × 15359
Abundant Even Composite

Starting at 3,962,622, the Collatz iteration reaches 1 after 154 steps. The first transition is 1981311; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 43 × 15359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,110,080
Proper Divisor Sum 4,147,458
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3962611 ← → #3962627

Radix Representation

Decimal 3962622
Binary 1111000111011011111110 (22 bits)
Octal 0o17073376
Hexadecimal 0x3C76FE

Divisor Catalog (16)

1 2 3 6 43 86 129 258 15,359 30,718 46,077 92,154 660,437 1,320,874 1,981,311 3,962,622

Collatz Trajectory (154 steps to reach 1)

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

3,962,622 1,981,311 5,943,934 2,971,967 8,915,902 4,457,951 13,373,854 6,686,927 20,060,782 10,030,391 30,091,174 15,045,587 45,136,762 22,568,381 67,705,144 33,852,572 16,926,286 8,463,143 25,389,430 12,694,715 38,084,146 19,042,073 57,126,220 28,563,110 14,281,555 42,844,666 21,422,333 64,267,000 32,133,500 16,066,750 8,033,375 24,100,126 12,050,063 36,150,190 18,075,095 54,225,286 27,112,643 81,337,930 40,668,965 122,006,896 61,003,448 30,501,724 15,250,862 7,625,431 22,876,294 11,438,147 34,314,442 17,157,221 51,471,664 25,735,832 12,867,916 6,433,958 3,216,979 9,650,938 4,825,469 14,476,408 7,238,204 3,619,102 1,809,551 5,428,654

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