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The number 9934

9934 is a composite number with 4 divisors. Its prime factorisation is 2 × 4967. Divisors (4): 1, 2, 4967, 9934.

Number

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How to work it out

  1. 1

    What is special about 9934: a semiprime: 2 × 4967, the product of two primes.

  2. 2

    9934 is composite. Its prime factorisation is

    9934=2×49679934 = 2 \times 4967
  3. 3

    The divisors add up to 14904; without 9934 itself that is 4970, so 9934 is deficient (4970 is less than 9934). Euler's totient φ(9934) = 4966 numbers up to 9934 share no factor with it.

  4. 4

    The digits of 9934 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9934 = 2 \times 4967 \]

9934 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14904
Euler totient φ(n)4966
Square98684356
Cube980330392504
Square root99.669454
Digit sum / digital root25 / 7
Collatz steps to 1166
Scientific notation9.934 × 10310^{3}

9934 in other forms

FormValue
In wordsnine thousand nine hundred and thirty-four
Binary (base 2)10011011001110
Octal (base 8)23316
Hexadecimal (base 16)26CE
Base 3111121221
As time9934 seconds = 2 h 45 min 34 s

Is 9934 divisible by 2 to 12?

DivisorAnswerRule
2Yes (9934 ÷ 2 = 4967)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 4)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 1)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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 9934 a prime number?

No. 9934 = 2 × 4967, so it is divisible by 2.

What are the factors of 9934?

1, 2, 4967, 9934.

What is 9934 in binary?

10011011001110 (hexadecimal 26CE, octal 23316).

What is the square root of 9934?

About 99.6695.

Is 9934 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 9934?

9934 is a semiprime: 2 × 4967, the product of two primes.

All about 9934

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