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The number 53825

53825 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 2153. Divisors (6): 1, 5, 25, 2153, 10765, 53825.

Number

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How to work it out

  1. 1

    53825 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

    53825 is composite. Its prime factorisation is

    53825=52Ɨ215353825 = 5^{2} \times 2153
  3. 3

    The divisors add up to 66774; without 53825 itself that is 12949, so 53825 is deficient (12949 is less than 53825). Euler's totient φ(53825) = 43040 numbers up to 53825 share no factor with it.

  4. 4

    The digits of 53825 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53825 = 5^{2} \times 2153 \]

53825 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors66774
Euler totient φ(n)43040
Square2897130625
Cube155938055890625
Square root232.002155 (= 5√2153)
Digit sum / digital root23 / 5
Collatz steps to 1140
Scientific notation5.3825 Ɨ 10410^{4}

53825 in other forms

FormValue
In wordsfifty-three thousand eight hundred and twenty-five
Binary (base 2)1101001001000001
Octal (base 8)151101
Hexadecimal (base 16)D241
Base 32201211112
As time53825 seconds = 14 h 57 min 5 s

Is 53825 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 (53825 Ć· 5 = 10765)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 2)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 53825 a prime number?

No. 53825 = 525^{2} Ɨ 2153, so it is divisible by 5.

What are the factors of 53825?

1, 5, 25, 2153, 10765, 53825.

What is 53825 in binary?

1101001001000001 (hexadecimal D241, octal 151101).

What is the square root of 53825?

About 232.0022, exactly 5√2153.

Is 53825 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 53825?

It is a composite number with 6 divisors.

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    53825: is it prime? Factors, square root, binary, Roman numeral | WordGPT