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The number 1325

1325 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 53. Divisors (6): 1, 5, 25, 53, 265, 1325.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    1325 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

    1325 is composite. Its prime factorisation is

    1325=52Ɨ531325 = 5^{2} \times 53
  3. 3

    The divisors add up to 1674; without 1325 itself that is 349, so 1325 is deficient (349 is less than 1325). Euler's totient φ(1325) = 1040 numbers up to 1325 share no factor with it.

  4. 4

    The digits of 1325 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 26 steps to reach 1.

LaTeX source of the formulas on this page
\[ 1325 = 5^{2} \times 53 \]

1325 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors1674
Euler totient φ(n)1040
Square1755625
Cube2326203125
Square root36.400549 (= 5√53)
Digit sum / digital root11 / 2
Collatz steps to 126
Scientific notation1.325 Ɨ 10310^{3}

1325 in other forms

FormValue
In wordsone thousand three hundred and twenty-five
Roman numeralsMCCCXXV
Binary (base 2)10100101101
Octal (base 8)2455
Hexadecimal (base 16)52D
Base 31211002
As time1325 seconds = 22 min 5 s

Is 1325 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 (1325 Ć· 5 = 265)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 2)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 5)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 1325 a prime number?

No. 1325 = 525^{2} Ɨ 53, so it is divisible by 5.

What are the factors of 1325?

1, 5, 25, 53, 265, 1325.

What is 1325 in binary?

10100101101 (hexadecimal 52D, octal 2455).

What is the square root of 1325?

About 36.4005, exactly 5√53.

What is 1325 in Roman numerals?

MCCCXXV.

Is 1325 divisible by 3?

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

What is special about the number 1325?

It is a composite number with 6 divisors.

All about 1325

Find the next one

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    1325: is it prime? Factors, square root, binary, Roman numeral | WordGPT