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The number 52167

52167 is a composite number with 4 divisors. Its prime factorisation is 3 × 17389. Divisors (4): 1, 3, 17389, 52167.

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How to work it out

  1. 1

    What is special about 52167: a semiprime: 3 × 17389, the product of two primes.

  2. 2

    52167 is composite. Its prime factorisation is

    52167=3×1738952167 = 3 \times 17389
  3. 3

    The divisors add up to 69560; without 52167 itself that is 17393, so 52167 is deficient (17393 is less than 52167). Euler's totient φ(52167) = 34776 numbers up to 52167 share no factor with it.

  4. 4

    The digits of 52167 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52167 = 3 \times 17389 \]

52167 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors69560
Euler totient φ(n)34776
Square2721395889
Cube141967059341463
Square root228.400963
Digit sum / digital root21 / 3
Collatz steps to 183
Scientific notation5.2167 × 10410^{4}

52167 in other forms

FormValue
In wordsfifty-two thousand one hundred and sixty-seven
Binary (base 2)1100101111000111
Octal (base 8)145707
Hexadecimal (base 16)CBC7
Base 32122120010
As time52167 seconds = 14 h 29 min 27 s

Is 52167 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).
3Yes (52167 ÷ 3 = 17389)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52167 a prime number?

No. 52167 = 3 × 17389, so it is divisible by 3.

What are the factors of 52167?

1, 3, 17389, 52167.

What is 52167 in binary?

1100101111000111 (hexadecimal CBC7, octal 145707).

What is the square root of 52167?

About 228.4010.

Is 52167 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 52167?

52167 is a semiprime: 3 × 17389, the product of two primes.

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