λ
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Atlas › Integer Profiles › Node 3,950,322

3,950,322

2 × 3 × 29 × 73 × 311
Abundant Even Composite

3,950,322 factors as 2 × 3 × 29 × 73 × 311. Its 32 positive divisors give a proper-divisor sum of 4,361,358, so this integer is abundant. The Collatz stopping time is 353 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 73 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,311,680
Proper Divisor Sum 4,361,358
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3950321 ← → #3950327

Radix Representation

Decimal 3950322
Binary 1111000100011011110010 (22 bits)
Octal 0o17043362
Hexadecimal 0x3C46F2

Divisor Catalog (32)

1 2 3 6 29 58 73 87 146 174 219 311 438 622 933 1,866 2,117 4,234 6,351 9,019 12,702 18,038 22,703 27,057 45,406 54,114 68,109 136,218 658,387 1,316,774 1,975,161 3,950,322

Collatz Trajectory (353 steps to reach 1)

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

3,950,322 1,975,161 5,925,484 2,962,742 1,481,371 4,444,114 2,222,057 6,666,172 3,333,086 1,666,543 4,999,630 2,499,815 7,499,446 3,749,723 11,249,170 5,624,585 16,873,756 8,436,878 4,218,439 12,655,318 6,327,659 18,982,978 9,491,489 28,474,468 14,237,234 7,118,617 21,355,852 10,677,926 5,338,963 16,016,890 8,008,445 24,025,336 12,012,668 6,006,334 3,003,167 9,009,502 4,504,751 13,514,254 6,757,127 20,271,382 10,135,691 30,407,074 15,203,537 45,610,612 22,805,306 11,402,653 34,207,960 17,103,980 8,551,990 4,275,995 12,827,986 6,413,993 19,241,980 9,620,990 4,810,495 14,431,486 7,215,743 21,647,230 10,823,615 32,470,846

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