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The number 245

245 is a composite number with 6 divisors. Its prime factorisation is 5 × 727^{2}. Divisors (6): 1, 5, 7, 35, 49, 245.

Number

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How to work it out

  1. 1

    245 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

    245 is composite. Its prime factorisation is

    245=5×72245 = 5 \times 7^{2}
  3. 3

    The divisors add up to 342; without 245 itself that is 97, so 245 is deficient (97 is less than 245). Euler's totient φ(245) = 168 numbers up to 245 share no factor with it.

  4. 4

    The digits of 245 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.

LaTeX source of the formulas on this page
\[ 245 = 5 \times 7^{2} \]

245 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors342
Euler totient φ(n)168
Square60025
Cube14706125
Square root15.652476 (= 7√5)
Digit sum / digital root11 / 2
Collatz steps to 121
Scientific notation2.45 × 10210^{2}

245 in other forms

FormValue
In wordstwo hundred and forty-five
Roman numeralsCCXLV
Binary (base 2)11110101
Octal (base 8)365
Hexadecimal (base 16)F5
Base 3100002
As time245 seconds = 4 min 5 s

Is 245 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 (245 ÷ 5 = 49)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.
7Yes (245 ÷ 7 = 35)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 2)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.
11No (remainder 3)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 245 a prime number?

No. 245 = 5 × 727^{2}, so it is divisible by 5.

What are the factors of 245?

1, 5, 7, 35, 49, 245.

What is 245 in binary?

11110101 (hexadecimal F5, octal 365).

What is the square root of 245?

About 15.6525, exactly 7√5.

What is 245 in Roman numerals?

CCXLV.

Is 245 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 245?

It is a composite number with 6 divisors.

All about 245

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