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The number 52513

52513 is a composite number with 4 divisors. Its prime factorisation is 17 × 3089. Divisors (4): 1, 17, 3089, 52513.

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How to work it out

  1. 1

    What is special about 52513: a semiprime: 17 × 3089, the product of two primes.

  2. 2

    52513 is composite. Its prime factorisation is

    52513=17×308952513 = 17 \times 3089
  3. 3

    The divisors add up to 55620; without 52513 itself that is 3107, so 52513 is deficient (3107 is less than 52513). Euler's totient φ(52513) = 49408 numbers up to 52513 share no factor with it.

  4. 4

    The digits of 52513 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52513 = 17 \times 3089 \]

52513 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors55620
Euler totient φ(n)49408
Square2757615169
Cube144810645369697
Square root229.157151
Digit sum / digital root16 / 7
Collatz steps to 178
Scientific notation5.2513 × 10410^{4}

52513 in other forms

FormValue
In wordsfifty-two thousand five hundred and thirteen
Binary (base 2)1100110100100001
Octal (base 8)146441
Hexadecimal (base 16)CD21
Base 32200000221
As time52513 seconds = 14 h 35 min 13 s

Is 52513 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 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.
7No (remainder 6)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 7)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 10)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 52513 a prime number?

No. 52513 = 17 × 3089, so it is divisible by 17.

What are the factors of 52513?

1, 17, 3089, 52513.

What is 52513 in binary?

1100110100100001 (hexadecimal CD21, octal 146441).

What is the square root of 52513?

About 229.1572.

Is 52513 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 52513?

52513 is a semiprime: 17 × 3089, the product of two primes.

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    52513: is it prime? Factors, square root, binary, Roman numeral | WordGPT