8,442,843

3 × 41 × 83 × 827

8,442,843 is odd and not a perfect square. Its factorization is 3 × 41 × 83 × 827 and its 16 divisors sum to 11,684,736.

Prime Factor Structure

Factorization String 3 × 41 × 83 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,684,736

Proper Divisor Sum 3,241,893

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8442839 ← → #8442869

Radix Representation

Decimal	8442843
Binary	100000001101001111011011 (24 bits)
Octal	0o40151733
Hexadecimal	0x80D3DB

Divisor Catalog (16)

1 3 41 83 123 249 827 2,481 3,403 10,209 33,907 68,641 101,721 205,923 2,814,281 8,442,843

Collatz Trajectory (155 steps to reach 1)

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

8,442,843 25,328,530 12,664,265 37,992,796 18,996,398 9,498,199 28,494,598 14,247,299 42,741,898 21,370,949 64,112,848 32,056,424 16,028,212 8,014,106 4,007,053 12,021,160 6,010,580 3,005,290 1,502,645 4,507,936 2,253,968 1,126,984 563,492 281,746 140,873 422,620 211,310 105,655 316,966 158,483 475,450 237,725 713,176 356,588 178,294 89,147 267,442 133,721 401,164 200,582 100,291 300,874 150,437 451,312 225,656 112,828 56,414 28,207 84,622 42,311 126,934 63,467 190,402 95,201 285,604 142,802 71,401 214,204 107,102 53,551

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