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The number 53371

53371 is a composite number with 6 divisors. Its prime factorisation is 19 Ɨ 53253^{2}. Divisors (6): 1, 19, 53, 1007, 2809, 53371.

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How to work it out

  1. 1

    What is special about 53371: a Harshad number: divisible by its digit sum 19.

  2. 2

    53371 is composite. Its prime factorisation is

    53371=19Ɨ53253371 = 19 \times 53^{2}
  3. 3

    The divisors add up to 57260; without 53371 itself that is 3889, so 53371 is deficient (3889 is less than 53371). Euler's totient φ(53371) = 49608 numbers up to 53371 share no factor with it.

  4. 4

    The digits of 53371 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 122 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53371 = 19 \times 53^{2} \]

53371 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors57260
Euler totient φ(n)49608
Square2848463641
Cube152025352983811
Square root231.021644 (= 53√19)
Digit sum / digital root19 / 1
Collatz steps to 1122
Scientific notation5.3371 Ɨ 10410^{4}

53371 in other forms

FormValue
In wordsfifty-three thousand three hundred and seventy-one
Binary (base 2)1101000001111011
Octal (base 8)150173
Hexadecimal (base 16)D07B
Base 32201012201
As time53371 seconds = 14 h 49 min 31 s

Is 53371 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 3)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.
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 3)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 53371 a prime number?

No. 53371 = 19 Ɨ 53253^{2}, so it is divisible by 19.

What are the factors of 53371?

1, 19, 53, 1007, 2809, 53371.

What is 53371 in binary?

1101000001111011 (hexadecimal D07B, octal 150173).

What is the square root of 53371?

About 231.0216, exactly 53√19.

Is 53371 divisible by 3?

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

What is special about the number 53371?

53371 is a Harshad number: divisible by its digit sum 19.

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