3,001,824

2⁵ × 3² × 7 × 1489

3,001,824 is even and not a perfect square. Its factorization is 2^5 × 3^2 × 7 × 1489 and its 72 divisors sum to 9,762,480.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 1489

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,762,480

Proper Divisor Sum 6,760,656

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3001811 ← → #3001837

Radix Representation

Decimal	3001824
Binary	1011011100110111100000 (22 bits)
Octal	0o13346740
Hexadecimal	0x2DCDE0

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1,008 1,489 2,016 2,978 4,467 5,956 8,934 10,423 11,912 13,401 17,868 20,846 23,824 26,802 31,269 35,736 41,692 47,648 53,604 62,538 71,472 83,384 93,807 107,208 125,076 142,944

Collatz Trajectory (89 steps to reach 1)

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

3,001,824 1,500,912 750,456 375,228 187,614 93,807 281,422 140,711 422,134 211,067 633,202 316,601 949,804 474,902 237,451 712,354 356,177 1,068,532 534,266 267,133 801,400 400,700 200,350 100,175 300,526 150,263 450,790 225,395 676,186 338,093 1,014,280 507,140 253,570 126,785 380,356 190,178 95,089 285,268 142,634 71,317 213,952 106,976 53,488 26,744 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529

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