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The number 5513

5513 is a composite number with 4 divisors. Its prime factorisation is 37 × 149. Divisors (4): 1, 37, 149, 5513.

Number

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How to work it out

  1. 1

    What is special about 5513: a semiprime: 37 × 149, the product of two primes.

  2. 2

    5513 is composite. Its prime factorisation is

    5513=37×1495513 = 37 \times 149
  3. 3

    The divisors add up to 5700; without 5513 itself that is 187, so 5513 is deficient (187 is less than 5513). Euler's totient φ(5513) = 5328 numbers up to 5513 share no factor with it.

  4. 4

    The digits of 5513 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5513 = 37 \times 149 \]

5513 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5700
Euler totient φ(n)5328
Square30393169
Cube167557540697
Square root74.249579
Digit sum / digital root14 / 5
Collatz steps to 198
Scientific notation5.513 × 10310^{3}

5513 in other forms

FormValue
In wordsfive thousand five hundred and thirteen
Binary (base 2)1010110001001
Octal (base 8)12611
Hexadecimal (base 16)1589
Base 321120012
As time5513 seconds = 1 h 31 min 53 s

Is 5513 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 2)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5513 a prime number?

No. 5513 = 37 × 149, so it is divisible by 37.

What are the factors of 5513?

1, 37, 149, 5513.

What is 5513 in binary?

1010110001001 (hexadecimal 1589, octal 12611).

What is the square root of 5513?

About 74.2496.

Is 5513 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 5513?

5513 is a semiprime: 37 × 149, the product of two primes.

All about 5513

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