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The number 61325

61325 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 11 × 223. Divisors (12): 1, 5, 11, 25, 55, 223, 275, 1115, 2453, 5575, 12265, 61325.

Number

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How to work it out

  1. 1

    61325 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    61325 is composite. Its prime factorisation is

    61325=52×11×22361325 = 5^{2} \times 11 \times 223
  3. 3

    The divisors add up to 83328; without 61325 itself that is 22003, so 61325 is deficient (22003 is less than 61325). Euler's totient φ(61325) = 44400 numbers up to 61325 share no factor with it.

  4. 4

    The digits of 61325 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61325 = 5^{2} \times 11 \times 223 \]

61325 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors83328
Euler totient φ(n)44400
Square3760755625
Cube230628338703125
Square root247.638850 (= 5√2453)
Digit sum / digital root17 / 8
Collatz steps to 160
Scientific notation6.1325 × 10410^{4}

61325 in other forms

FormValue
In wordssixty-one thousand three hundred and twenty-five
Binary (base 2)1110111110001101
Octal (base 8)167615
Hexadecimal (base 16)EF8D
Base 310010010022
As time61325 seconds = 17 h 2 min 5 s

Is 61325 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (61325 ÷ 5 = 12265)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11Yes (61325 ÷ 11 = 5575)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61325 a prime number?

No. 61325 = 525^{2} × 11 × 223, so it is divisible by 5.

What are the factors of 61325?

1, 5, 11, 25, 55, 223, 275, 1115, 2453, 5575, 12265, 61325.

What is 61325 in binary?

1110111110001101 (hexadecimal EF8D, octal 167615).

What is the square root of 61325?

About 247.6388, exactly 5√2453.

Is 61325 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 61325?

It is a composite number with 12 divisors.

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    61325: is it prime? Factors, square root, binary, Roman numeral | WordGPT