8,442,000

2⁴ × 3² × 5³ × 7 × 67

8,442,000 is even and not a perfect square. Its factorization is 2^4 × 3^2 × 5^3 × 7 × 67 and its 240 divisors sum to 34,200,192.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^3 × 7 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 34,200,192

Proper Divisor Sum 25,758,192

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8441969 ← → #8442011

Radix Representation

Decimal	8442000
Binary	100000001101000010010000 (24 bits)
Octal	0o40150220
Hexadecimal	0x80D090

Divisor Catalog (60 of 240)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 35 36 40 42 45 48 50 56 60 63 67 70 72 75 80 84 90 100 105 112 120 125 126 134 140 144 150 168 175 180 200 201 210 225 240 250 252 268 280

Collatz Trajectory (106 steps to reach 1)

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

8,442,000 4,221,000 2,110,500 1,055,250 527,625 1,582,876 791,438 395,719 1,187,158 593,579 1,780,738 890,369 2,671,108 1,335,554 667,777 2,003,332 1,001,666 500,833 1,502,500 751,250 375,625 1,126,876 563,438 281,719 845,158 422,579 1,267,738 633,869 1,901,608 950,804 475,402 237,701 713,104 356,552 178,276 89,138 44,569 133,708 66,854 33,427 100,282 50,141 150,424 75,212 37,606 18,803 56,410 28,205 84,616 42,308 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926

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