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The number 31225

31225 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 1249. Divisors (6): 1, 5, 25, 1249, 6245, 31225.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    31225 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

    31225 is composite. Its prime factorisation is

    31225=52Ɨ124931225 = 5^{2} \times 1249
  3. 3

    The divisors add up to 38750; without 31225 itself that is 7525, so 31225 is deficient (7525 is less than 31225). Euler's totient φ(31225) = 24960 numbers up to 31225 share no factor with it.

  4. 4

    The digits of 31225 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31225 = 5^{2} \times 1249 \]

31225 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors38750
Euler totient φ(n)24960
Square975000625
Cube30444394515625
Square root176.705970 (= 5√1249)
Digit sum / digital root13 / 4
Collatz steps to 1178
Scientific notation3.1225 Ɨ 10410^{4}

31225 in other forms

FormValue
In wordsthirty-one thousand two hundred and twenty-five
Binary (base 2)111100111111001
Octal (base 8)74771
Hexadecimal (base 16)79F9
Base 31120211111
As time31225 seconds = 8 h 40 min 25 s

Is 31225 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 (31225 Ć· 5 = 6245)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 7)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 31225 a prime number?

No. 31225 = 525^{2} Ɨ 1249, so it is divisible by 5.

What are the factors of 31225?

1, 5, 25, 1249, 6245, 31225.

What is 31225 in binary?

111100111111001 (hexadecimal 79F9, octal 74771).

What is the square root of 31225?

About 176.7060, exactly 5√1249.

Is 31225 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 31225?

It is a composite number with 6 divisors.

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    31225: is it prime? Factors, square root, binary, Roman numeral | WordGPT