8,723,142

2 × 3² × 17 × 29 × 983

8,723,142 is even and not a perfect square. Its factorization is 2 × 3^2 × 17 × 29 × 983 and its 48 divisors sum to 20,723,040.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 29 × 983

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,723,040

Proper Divisor Sum 11,999,898

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8723137 ← → #8723149

Radix Representation

Decimal	8723142
Binary	100001010001101011000110 (24 bits)
Octal	0o41215306
Hexadecimal	0x851AC6

Divisor Catalog (48)

1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 983 986 1,479 1,966 2,949 2,958 4,437 5,898 8,847 8,874 16,711 17,694 28,507 33,422 50,133 57,014 85,521 100,266 150,399 171,042 256,563 300,798 484,619 513,126 969,238 1,453,857 2,907,714 4,361,571 8,723,142

Collatz Trajectory (150 steps to reach 1)

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

8,723,142 4,361,571 13,084,714 6,542,357 19,627,072 9,813,536 4,906,768 2,453,384 1,226,692 613,346 306,673 920,020 460,010 230,005 690,016 345,008 172,504 86,252 43,126 21,563 64,690 32,345 97,036 48,518 24,259 72,778 36,389 109,168 54,584 27,292 13,646 6,823 20,470 10,235 30,706 15,353 46,060 23,030 11,515 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150 14,575 43,726 21,863 65,590 32,795 98,386 49,193 147,580 73,790 36,895 110,686 55,343

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