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The number 13925

13925 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 557. Divisors (6): 1, 5, 25, 557, 2785, 13925.

Number

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How to work it out

  1. 1

    13925 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

    13925 is composite. Its prime factorisation is

    13925=52Ɨ55713925 = 5^{2} \times 557
  3. 3

    The divisors add up to 17298; without 13925 itself that is 3373, so 13925 is deficient (3373 is less than 13925). Euler's totient φ(13925) = 11120 numbers up to 13925 share no factor with it.

  4. 4

    The digits of 13925 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13925 = 5^{2} \times 557 \]

13925 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors17298
Euler totient φ(n)11120
Square193905625
Cube2700135828125
Square root118.004237 (= 5√557)
Digit sum / digital root20 / 2
Collatz steps to 158
Scientific notation1.3925 Ɨ 10410^{4}

13925 in other forms

FormValue
In wordsthirteen thousand nine hundred and twenty-five
Binary (base 2)11011001100101
Octal (base 8)33145
Hexadecimal (base 16)3665
Base 3201002202
As time13925 seconds = 3 h 52 min 5 s

Is 13925 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 (13925 Ć· 5 = 2785)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 10)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 13925 a prime number?

No. 13925 = 525^{2} Ɨ 557, so it is divisible by 5.

What are the factors of 13925?

1, 5, 25, 557, 2785, 13925.

What is 13925 in binary?

11011001100101 (hexadecimal 3665, octal 33145).

What is the square root of 13925?

About 118.0042, exactly 5√557.

Is 13925 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 13925?

It is a composite number with 6 divisors.

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    13925: is it prime? Factors, square root, binary, Roman numeral | WordGPT