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The number 5341

5341 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 109. Divisors (6): 1, 7, 49, 109, 763, 5341.

Number

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How to work it out

  1. 1

    5341 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

    5341 is composite. Its prime factorisation is

    5341=72Ɨ1095341 = 7^{2} \times 109
  3. 3

    The divisors add up to 6270; without 5341 itself that is 929, so 5341 is deficient (929 is less than 5341). Euler's totient φ(5341) = 4536 numbers up to 5341 share no factor with it.

  4. 4

    The digits of 5341 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5341 = 7^{2} \times 109 \]

5341 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors6270
Euler totient φ(n)4536
Square28526281
Cube152358866821
Square root73.082146 (= 7√109)
Digit sum / digital root13 / 4
Collatz steps to 1147
Scientific notation5.341 Ɨ 10310^{3}

5341 in other forms

FormValue
In wordsfive thousand three hundred and forty-one
Binary (base 2)1010011011101
Octal (base 8)12335
Hexadecimal (base 16)14DD
Base 321022211
As time5341 seconds = 1 h 29 min 1 s

Is 5341 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 (5341 Ć· 7 = 763)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 4)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 6)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 5341 a prime number?

No. 5341 = 727^{2} Ɨ 109, so it is divisible by 7.

What are the factors of 5341?

1, 7, 49, 109, 763, 5341.

What is 5341 in binary?

1010011011101 (hexadecimal 14DD, octal 12335).

What is the square root of 5341?

About 73.0821, exactly 7√109.

Is 5341 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 5341?

It is a composite number with 6 divisors.

All about 5341

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