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The number 9838

9838 is a composite number with 4 divisors. Its prime factorisation is 2 × 4919. Divisors (4): 1, 2, 4919, 9838.

Number

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How to work it out

  1. 1

    What is special about 9838: a semiprime: 2 × 4919, the product of two primes.

  2. 2

    9838 is composite. Its prime factorisation is

    9838=2×49199838 = 2 \times 4919
  3. 3

    The divisors add up to 14760; without 9838 itself that is 4922, so 9838 is deficient (4922 is less than 9838). Euler's totient φ(9838) = 4918 numbers up to 9838 share no factor with it.

  4. 4

    The digits of 9838 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9838 = 2 \times 4919 \]

9838 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14760
Euler totient φ(n)4918
Square96786244
Cube952183068472
Square root99.186693
Digit sum / digital root28 / 1
Collatz steps to 1104
Scientific notation9.838 × 10310^{3}

9838 in other forms

FormValue
In wordsnine thousand eight hundred and thirty-eight
Binary (base 2)10011001101110
Octal (base 8)23156
Hexadecimal (base 16)266E
Base 3111111101
As time9838 seconds = 2 h 43 min 58 s

Is 9838 divisible by 2 to 12?

DivisorAnswerRule
2Yes (9838 ÷ 2 = 4919)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 2)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 4)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 9838 a prime number?

No. 9838 = 2 × 4919, so it is divisible by 2.

What are the factors of 9838?

1, 2, 4919, 9838.

What is 9838 in binary?

10011001101110 (hexadecimal 266E, octal 23156).

What is the square root of 9838?

About 99.1867.

Is 9838 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 9838?

9838 is a semiprime: 2 × 4919, the product of two primes.

All about 9838

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