486,000

2⁴ × 3⁵ × 5³

486,000 is even and not a perfect square. Its factorization is 2^4 × 3^5 × 5^3 and its 120 divisors sum to 1,760,304.

Prime Factor Structure

Factorization String 2^4 × 3^5 × 5^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,760,304

Proper Divisor Sum 1,274,304

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #485993 ← → #486023

Radix Representation

Decimal	486000
Binary	1110110101001110000 (19 bits)
Octal	0o1665160
Hexadecimal	0x76A70

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 125 135 144 150 162 180 200 216 225 240 243 250 270 300 324 360 375 400 405 432 450 486 500 540 600 648 675

Collatz Trajectory (213 steps to reach 1)

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

486,000 243,000 121,500 60,750 30,375 91,126 45,563 136,690 68,345 205,036 102,518 51,259 153,778 76,889 230,668 115,334 57,667 173,002 86,501 259,504 129,752 64,876 32,438 16,219 48,658 24,329 72,988 36,494 18,247 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990

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