λ
Sigma Notebook

8,442,861

3 × 7 × 337 × 1193
Deficient Odd Composite

8,442,861 is odd and not a perfect square. Its factorization is 3 × 7 × 337 × 1193 and its 16 divisors sum to 12,914,304.

Prime Factor Structure

Factorization String 3 × 7 × 337 × 1193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,914,304
Proper Divisor Sum 4,471,443
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8442839 ← → #8442869

Radix Representation

Decimal 8442861
Binary 100000001101001111101101 (24 bits)
Octal 0o40151755
Hexadecimal 0x80D3ED

Divisor Catalog (16)

1 3 7 21 337 1,011 1,193 2,359 3,579 7,077 8,351 25,053 402,041 1,206,123 2,814,287 8,442,861

Collatz Trajectory (155 steps to reach 1)

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

8,442,861 25,328,584 12,664,292 6,332,146 3,166,073 9,498,220 4,749,110 2,374,555 7,123,666 3,561,833 10,685,500 5,342,750 2,671,375 8,014,126 4,007,063 12,021,190 6,010,595 18,031,786 9,015,893 27,047,680 13,523,840 6,761,920 3,380,960 1,690,480 845,240 422,620 211,310 105,655 316,966 158,483 475,450 237,725 713,176 356,588 178,294 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

More profiles

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