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The number 9938

9938 is a composite number with 4 divisors. Its prime factorisation is 2 × 4969. Divisors (4): 1, 2, 4969, 9938.

Number

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How to work it out

  1. 1

    What is special about 9938: a semiprime: 2 × 4969, the product of two primes.

  2. 2

    9938 is composite. Its prime factorisation is

    9938=2×49699938 = 2 \times 4969
  3. 3

    The divisors add up to 14910; without 9938 itself that is 4972, so 9938 is deficient (4972 is less than 9938). Euler's totient φ(9938) = 4968 numbers up to 9938 share no factor with it.

  4. 4

    The digits of 9938 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9938 = 2 \times 4969 \]

9938 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14910
Euler totient φ(n)4968
Square98763844
Cube981515081672
Square root99.689518
Digit sum / digital root29 / 2
Collatz steps to 173
Scientific notation9.938 × 10310^{3}

9938 in other forms

FormValue
In wordsnine thousand nine hundred and thirty-eight
Binary (base 2)10011011010010
Octal (base 8)23322
Hexadecimal (base 16)26D2
Base 3111122002
As time9938 seconds = 2 h 45 min 38 s

Is 9938 divisible by 2 to 12?

DivisorAnswerRule
2Yes (9938 ÷ 2 = 4969)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 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 2)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 9938 a prime number?

No. 9938 = 2 × 4969, so it is divisible by 2.

What are the factors of 9938?

1, 2, 4969, 9938.

What is 9938 in binary?

10011011010010 (hexadecimal 26D2, octal 23322).

What is the square root of 9938?

About 99.6895.

Is 9938 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 9938?

9938 is a semiprime: 2 × 4969, the product of two primes.

All about 9938

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