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The number 14850

14850 is a composite number with 48 divisors. Its prime factorisation is 2 × 333^{3} × 525^{2} × 11. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 27, 30, 33, 45 … 14850.

Number

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How to work it out

  1. 1

    What is special about 14850: a Harshad number: divisible by its digit sum 18.

  2. 2

    14850 is composite. Its prime factorisation is

    14850=2×33×52×1114850 = 2 \times 3^{3} \times 5^{2} \times 11
  3. 3

    The divisors add up to 44640; without 14850 itself that is 29790, so 14850 is abundant (29790 is more than 14850). Euler's totient φ(14850) = 3600 numbers up to 14850 share no factor with it.

  4. 4

    The digits of 14850 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14850 = 2 \times 3^{3} \times 5^{2} \times 11 \]

14850 at a glance

PropertyValue
Typecomposite
Number of divisors48
Sum of divisors44640
Euler totient φ(n)3600
Square220522500
Cube3274759125000
Square root121.860576 (= 15√66)
Digit sum / digital root18 / 9
Collatz steps to 1133
Scientific notation1.485 × 10410^{4}

14850 in other forms

FormValue
In wordsfourteen thousand eight hundred and fifty
Binary (base 2)11101000000010
Octal (base 8)35002
Hexadecimal (base 16)3A02
Base 3202101000
As time14850 seconds = 4 h 7 min 30 s

Is 14850 divisible by 2 to 12?

DivisorAnswerRule
2Yes (14850 ÷ 2 = 7425)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (14850 ÷ 3 = 4950)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (14850 ÷ 5 = 2970)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (14850 ÷ 6 = 2475)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (14850 ÷ 9 = 1650)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (14850 ÷ 10 = 1485)A number is divisible by 10 if the last digit is 0.
11Yes (14850 ÷ 11 = 1350)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14850 a prime number?

No. 14850 = 2 × 333^{3} × 525^{2} × 11, so it is divisible by 2.

What are the factors of 14850?

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 27, 30, 33, 45, 50, 54, 55, 66, 75, 90, 99, 110, 135, 150, 165, 198, 225, 270, 275, 297, 330, 450, 495, 550, 594, 675, 825, 990, 1350, 1485, 1650, 2475, 2970, 4950, 7425, 14850.

What is 14850 in binary?

11101000000010 (hexadecimal 3A02, octal 35002).

What is the square root of 14850?

About 121.8606, exactly 15√66.

Is 14850 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 14850?

14850 is a Harshad number: divisible by its digit sum 18.

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