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The number 325

325 is a triangular number: 1 + 2 + … + 25 = 325 and a binary palindrome (101000101). Its prime factorisation is 525^{2} Ɨ 13. Divisors (6): 1, 5, 13, 25, 65, 325.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 325: a triangular number: 1 + 2 + … + 25 = 325; a binary palindrome (101000101).

  2. 2

    325 is composite. Its prime factorisation is

    325=52Ɨ13325 = 5^{2} \times 13
  3. 3

    The divisors add up to 434; without 325 itself that is 109, so 325 is deficient (109 is less than 325). Euler's totient φ(325) = 240 numbers up to 325 share no factor with it.

  4. 4

    The digits of 325 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 24 steps to reach 1.

LaTeX source of the formulas on this page
\[ 325 = 5^{2} \times 13 \]

325 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors434
Euler totient φ(n)240
Square105625
Cube34328125
Square root18.027756 (= 5√13)
Digit sum / digital root10 / 1
Collatz steps to 124
Scientific notation3.25 Ɨ 10210^{2}

325 in other forms

FormValue
In wordsthree hundred and twenty-five
Roman numeralsCCCXXV
Binary (base 2)101000101
Octal (base 8)505
Hexadecimal (base 16)145
Base 3110001
As time325 seconds = 5 min 25 s

Is 325 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 1)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 (325 Ć· 5 = 65)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 5)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.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 325 a prime number?

No. 325 = 525^{2} Ɨ 13, so it is divisible by 5.

What are the factors of 325?

1, 5, 13, 25, 65, 325.

What is 325 in binary?

101000101 (hexadecimal 145, octal 505).

What is the square root of 325?

About 18.0278, exactly 5√13.

What is 325 in Roman numerals?

CCCXXV.

Is 325 divisible by 3?

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

What is special about the number 325?

325 is a triangular number: 1 + 2 + … + 25 = 325; a binary palindrome (101000101).

All about 325

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