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The number 30250

30250 is a composite number with 24 divisors. Its prime factorisation is 2 × 535^{3} × 11211^{2}. Divisors (24): 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 125, 242, 250, 275, 550 … 30250.

Number

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How to work it out

  1. 1

    What is special about 30250: a Harshad number: divisible by its digit sum 10.

  2. 2

    30250 is composite. Its prime factorisation is

    30250=2×53×11230250 = 2 \times 5^{3} \times 11^{2}
  3. 3

    The divisors add up to 62244; without 30250 itself that is 31994, so 30250 is abundant (31994 is more than 30250). Euler's totient φ(30250) = 11000 numbers up to 30250 share no factor with it.

  4. 4

    The digits of 30250 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.

LaTeX source of the formulas on this page
\[ 30250 = 2 \times 5^{3} \times 11^{2} \]

30250 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors62244
Euler totient φ(n)11000
Square915062500
Cube27680640625000
Square root173.925271 (= 55√10)
Digit sum / digital root10 / 1
Collatz steps to 141
Scientific notation3.025 × 10410^{4}

30250 in other forms

FormValue
In wordsthirty thousand two hundred and fifty
Binary (base 2)111011000101010
Octal (base 8)73052
Hexadecimal (base 16)762A
Base 31112111101
As time30250 seconds = 8 h 24 min 10 s

Is 30250 divisible by 2 to 12?

DivisorAnswerRule
2Yes (30250 ÷ 2 = 15125)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)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 (30250 ÷ 5 = 6050)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (30250 ÷ 10 = 3025)A number is divisible by 10 if the last digit is 0.
11Yes (30250 ÷ 11 = 2750)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 30250 a prime number?

No. 30250 = 2 × 535^{3} × 11211^{2}, so it is divisible by 2.

What are the factors of 30250?

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 125, 242, 250, 275, 550, 605, 1210, 1375, 2750, 3025, 6050, 15125, 30250.

What is 30250 in binary?

111011000101010 (hexadecimal 762A, octal 73052).

What is the square root of 30250?

About 173.9253, exactly 55√10.

Is 30250 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 30250?

30250 is a Harshad number: divisible by its digit sum 10.

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    30250: is it prime? Factors, square root, binary, Roman numeral | WordGPT