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The number 5383

5383 is a composite number with 4 divisors. Its prime factorisation is 7 × 769. Divisors (4): 1, 7, 769, 5383.

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How to work it out

  1. 1

    What is special about 5383: a semiprime: 7 × 769, the product of two primes.

  2. 2

    5383 is composite. Its prime factorisation is

    5383=7×7695383 = 7 \times 769
  3. 3

    The divisors add up to 6160; without 5383 itself that is 777, so 5383 is deficient (777 is less than 5383). Euler's totient φ(5383) = 4608 numbers up to 5383 share no factor with it.

  4. 4

    The digits of 5383 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 72 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5383 = 7 \times 769 \]

5383 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors6160
Euler totient φ(n)4608
Square28976689
Cube155981516887
Square root73.368931
Digit sum / digital root19 / 1
Collatz steps to 172
Scientific notation5.383 × 10310^{3}

5383 in other forms

FormValue
In wordsfive thousand three hundred and eighty-three
Binary (base 2)1010100000111
Octal (base 8)12407
Hexadecimal (base 16)1507
Base 321101101
As time5383 seconds = 1 h 29 min 43 s

Is 5383 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 3)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 (5383 ÷ 7 = 769)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)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 5383 a prime number?

No. 5383 = 7 × 769, so it is divisible by 7.

What are the factors of 5383?

1, 7, 769, 5383.

What is 5383 in binary?

1010100000111 (hexadecimal 1507, octal 12407).

What is the square root of 5383?

About 73.3689.

Is 5383 divisible by 3?

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

What is special about the number 5383?

5383 is a semiprime: 7 × 769, the product of two primes.

All about 5383

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