8,015,472

2⁴ × 3² × 55663

8,015,472 is even and not a perfect square. Its factorization is 2^4 × 3^2 × 55663 and its 30 divisors sum to 22,432,592.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 55663

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 22,432,592

Proper Divisor Sum 14,417,120

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8015443 ← → #8015489

Radix Representation

Decimal	8015472
Binary	11110100100111001110000 (23 bits)
Octal	0o36447160
Hexadecimal	0x7A4E70

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 55,663 111,326 166,989 222,652 333,978 445,304 500,967 667,956 890,608 1,001,934 1,335,912 2,003,868 2,671,824 4,007,736 8,015,472

Collatz Trajectory (93 steps to reach 1)

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

8,015,472 4,007,736 2,003,868 1,001,934 500,967 1,502,902 751,451 2,254,354 1,127,177 3,381,532 1,690,766 845,383 2,536,150 1,268,075 3,804,226 1,902,113 5,706,340 2,853,170 1,426,585 4,279,756 2,139,878 1,069,939 3,209,818 1,604,909 4,814,728 2,407,364 1,203,682 601,841 1,805,524 902,762 451,381 1,354,144 677,072 338,536 169,268 84,634 42,317 126,952 63,476 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848

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