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The number 52381

52381 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 1069. Divisors (6): 1, 7, 49, 1069, 7483, 52381.

Number

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How to work it out

  1. 1

    What is special about 52381: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    52381 is composite. Its prime factorisation is

    52381=72Ɨ106952381 = 7^{2} \times 1069
  3. 3

    The divisors add up to 60990; without 52381 itself that is 8609, so 52381 is deficient (8609 is less than 52381). Euler's totient φ(52381) = 44856 numbers up to 52381 share no factor with it.

  4. 4

    The digits of 52381 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52381 = 7^{2} \times 1069 \]

52381 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors60990
Euler totient φ(n)44856
Square2743769161
Cube143721372422341
Square root228.868958 (= 7√1069)
Digit sum / digital root19 / 1
Collatz steps to 178
Scientific notation5.2381 Ɨ 10410^{4}

52381 in other forms

FormValue
In wordsfifty-two thousand three hundred and eighty-one
Binary (base 2)1100110010011101
Octal (base 8)146235
Hexadecimal (base 16)CC9D
Base 32122212001
As time52381 seconds = 14 h 33 min 1 s

Is 52381 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.
5No (remainder 1)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.
7Yes (52381 Ć· 7 = 7483)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 1)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52381 a prime number?

No. 52381 = 727^{2} Ɨ 1069, so it is divisible by 7.

What are the factors of 52381?

1, 7, 49, 1069, 7483, 52381.

What is 52381 in binary?

1100110010011101 (hexadecimal CC9D, octal 146235).

What is the square root of 52381?

About 228.8690, exactly 7√1069.

Is 52381 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 52381?

52381 is a happy number: repeatedly adding the squares of its digits reaches 1.

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