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The number 9313

9313 is a composite number with 4 divisors. Its prime factorisation is 67 × 139. Divisors (4): 1, 67, 139, 9313.

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How to work it out

  1. 1

    What is special about 9313: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 139, the product of two primes.

  2. 2

    9313 is composite. Its prime factorisation is

    9313=67×1399313 = 67 \times 139
  3. 3

    The divisors add up to 9520; without 9313 itself that is 207, so 9313 is deficient (207 is less than 9313). Euler's totient φ(9313) = 9108 numbers up to 9313 share no factor with it.

  4. 4

    The digits of 9313 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 109 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9313 = 67 \times 139 \]

9313 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors9520
Euler totient φ(n)9108
Square86731969
Cube807734827297
Square root96.503886
Digit sum / digital root16 / 7
Collatz steps to 1109
Scientific notation9.313 × 10310^{3}

9313 in other forms

FormValue
In wordsnine thousand three hundred and thirteen
Binary (base 2)10010001100001
Octal (base 8)22141
Hexadecimal (base 16)2461
Base 3110202221
As time9313 seconds = 2 h 35 min 13 s

Is 9313 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 3)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 7)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 9313 a prime number?

No. 9313 = 67 × 139, so it is divisible by 67.

What are the factors of 9313?

1, 67, 139, 9313.

What is 9313 in binary?

10010001100001 (hexadecimal 2461, octal 22141).

What is the square root of 9313?

About 96.5039.

Is 9313 divisible by 3?

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

What is special about the number 9313?

9313 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 139, the product of two primes.

All about 9313

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    9313: is it prime? Factors, square root, binary, Roman numeral | WordGPT