λ
Sigma Notebook

4,131,231

3 × 13 × 105929
Deficient Odd Composite

4,131,231 is odd and not a perfect square. Its factorization is 3 × 13 × 105929 and its 8 divisors sum to 5,932,080.

Prime Factor Structure

Factorization String 3 × 13 × 105929
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,932,080
Proper Divisor Sum 1,800,849
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4131229 ← → #4131241

Radix Representation

Decimal 4131231
Binary 1111110000100110011111 (22 bits)
Octal 0o17604637
Hexadecimal 0x3F099F

Divisor Catalog (8)

1 3 13 39 105,929 317,787 1,377,077 4,131,231

Collatz Trajectory (136 steps to reach 1)

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

4,131,231 12,393,694 6,196,847 18,590,542 9,295,271 27,885,814 13,942,907 41,828,722 20,914,361 62,743,084 31,371,542 15,685,771 47,057,314 23,528,657 70,585,972 35,292,986 17,646,493 52,939,480 26,469,740 13,234,870 6,617,435 19,852,306 9,926,153 29,778,460 14,889,230 7,444,615 22,333,846 11,166,923 33,500,770 16,750,385 50,251,156 25,125,578 12,562,789 37,688,368 18,844,184 9,422,092 4,711,046 2,355,523 7,066,570 3,533,285 10,599,856 5,299,928 2,649,964 1,324,982 662,491 1,987,474 993,737 2,981,212 1,490,606 745,303 2,235,910 1,117,955 3,353,866 1,676,933 5,030,800 2,515,400 1,257,700 628,850 314,425 943,276

More profiles

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