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The number 67913

67913 is a composite number with 4 divisors. Its prime factorisation is 113 × 601. Divisors (4): 1, 113, 601, 67913.

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How to work it out

  1. 1

    What is special about 67913: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 113 × 601, the product of two primes.

  2. 2

    67913 is composite. Its prime factorisation is

    67913=113×60167913 = 113 \times 601
  3. 3

    The divisors add up to 68628; without 67913 itself that is 715, so 67913 is deficient (715 is less than 67913). Euler's totient φ(67913) = 67200 numbers up to 67913 share no factor with it.

  4. 4

    The digits of 67913 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67913 = 113 \times 601 \]

67913 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors68628
Euler totient φ(n)67200
Square4612175569
Cube313226679417497
Square root260.601228
Digit sum / digital root26 / 8
Collatz steps to 199
Scientific notation6.7913 × 10410^{4}

67913 in other forms

FormValue
In wordssixty-seven thousand nine hundred and thirteen
Binary (base 2)10000100101001001
Octal (base 8)204511
Hexadecimal (base 16)10949
Base 310110011022
As time67913 seconds = 18 h 51 min 53 s

Is 67913 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 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 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 10)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 67913 a prime number?

No. 67913 = 113 × 601, so it is divisible by 113.

What are the factors of 67913?

1, 113, 601, 67913.

What is 67913 in binary?

10000100101001001 (hexadecimal 10949, octal 204511).

What is the square root of 67913?

About 260.6012.

Is 67913 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 67913?

67913 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 113 × 601, the product of two primes.

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