λ
Sigma Notebook

3,958,491

3 × 811 × 1627
Deficient Odd Composite

3,958,491 is odd and not a perfect square. Its factorization is 3 × 811 × 1627 and its 8 divisors sum to 5,287,744.

Prime Factor Structure

Factorization String 3 × 811 × 1627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,287,744
Proper Divisor Sum 1,329,253
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3958477 ← → #3958499

Radix Representation

Decimal 3958491
Binary 1111000110011011011011 (22 bits)
Octal 0o17063333
Hexadecimal 0x3C66DB

Divisor Catalog (8)

1 3 811 1,627 2,433 4,881 1,319,497 3,958,491

Collatz Trajectory (123 steps to reach 1)

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

3,958,491 11,875,474 5,937,737 17,813,212 8,906,606 4,453,303 13,359,910 6,679,955 20,039,866 10,019,933 30,059,800 15,029,900 7,514,950 3,757,475 11,272,426 5,636,213 16,908,640 8,454,320 4,227,160 2,113,580 1,056,790 528,395 1,585,186 792,593 2,377,780 1,188,890 594,445 1,783,336 891,668 445,834 222,917 668,752 334,376 167,188 83,594 41,797 125,392 62,696 31,348 15,674 7,837 23,512 11,756 5,878 2,939 8,818 4,409 13,228 6,614 3,307 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187

More profiles

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