λ
Sigma Notebook

2,104,040

23 × 5 × 23 × 2287
Abundant Even Composite

2,104,040 is even and not a perfect square. Its factorization is 2^3 × 5 × 23 × 2287 and its 32 divisors sum to 4,942,080.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 2287
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,942,080
Proper Divisor Sum 2,838,040
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #2104031 ← → #2104051

Radix Representation

Decimal 2104040
Binary 1000000001101011101000 (22 bits)
Octal 0o10015350
Hexadecimal 0x201AE8

Divisor Catalog (32)

1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 2,287 4,574 9,148 11,435 18,296 22,870 45,740 52,601 91,480 105,202 210,404 263,005 420,808 526,010 1,052,020 2,104,040

Collatz Trajectory (197 steps to reach 1)

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

2,104,040 1,052,020 526,010 263,005 789,016 394,508 197,254 98,627 295,882 147,941 443,824 221,912 110,956 55,478 27,739 83,218 41,609 124,828 62,414 31,207 93,622 46,811 140,434 70,217 210,652 105,326 52,663 157,990 78,995 236,986 118,493 355,480 177,740 88,870 44,435 133,306 66,653 199,960 99,980 49,990 24,995 74,986 37,493 112,480 56,240 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225

More profiles

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