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The number 53513

53513 is a composite number with 4 divisors. Its prime factorisation is 59 × 907. Divisors (4): 1, 59, 907, 53513.

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How to work it out

  1. 1

    What is special about 53513: a semiprime: 59 × 907, the product of two primes.

  2. 2

    53513 is composite. Its prime factorisation is

    53513=59×90753513 = 59 \times 907
  3. 3

    The divisors add up to 54480; without 53513 itself that is 967, so 53513 is deficient (967 is less than 53513). Euler's totient φ(53513) = 52548 numbers up to 53513 share no factor with it.

  4. 4

    The digits of 53513 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 215 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53513 = 59 \times 907 \]

53513 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors54480
Euler totient φ(n)52548
Square2863641169
Cube153242029876697
Square root231.328770
Digit sum / digital root17 / 8
Collatz steps to 1215
Scientific notation5.3513 × 10410^{4}

53513 in other forms

FormValue
In wordsfifty-three thousand five hundred and thirteen
Binary (base 2)1101000100001001
Octal (base 8)150411
Hexadecimal (base 16)D109
Base 32201101222
As time53513 seconds = 14 h 51 min 53 s

Is 53513 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 5)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 8)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 9)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 53513 a prime number?

No. 53513 = 59 × 907, so it is divisible by 59.

What are the factors of 53513?

1, 59, 907, 53513.

What is 53513 in binary?

1101000100001001 (hexadecimal D109, octal 150411).

What is the square root of 53513?

About 231.3288.

Is 53513 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 53513?

53513 is a semiprime: 59 × 907, the product of two primes.

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    53513: is it prime? Factors, square root, binary, Roman numeral | WordGPT