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The number 9484

9484 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 2371. Divisors (6): 1, 2, 4, 2371, 4742, 9484.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    9484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    9484 is composite. Its prime factorisation is

    9484=22×23719484 = 2^{2} \times 2371
  3. 3

    The divisors add up to 16604; without 9484 itself that is 7120, so 9484 is deficient (7120 is less than 9484). Euler's totient φ(9484) = 4740 numbers up to 9484 share no factor with it.

  4. 4

    The digits of 9484 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 153 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9484 = 2^{2} \times 2371 \]

9484 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors16604
Euler totient φ(n)4740
Square89946256
Cube853050291904
Square root97.385831 (= 2√2371)
Digit sum / digital root25 / 7
Collatz steps to 1153
Scientific notation9.484 × 10310^{3}

9484 in other forms

FormValue
In wordsnine thousand four hundred and eighty-four
Binary (base 2)10010100001100
Octal (base 8)22414
Hexadecimal (base 16)250C
Base 3111000021
As time9484 seconds = 2 h 38 min 4 s

Is 9484 divisible by 2 to 12?

DivisorAnswerRule
2Yes (9484 ÷ 2 = 4742)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.
4Yes (9484 ÷ 4 = 2371)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 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 4)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 9484 a prime number?

No. 9484 = 222^{2} × 2371, so it is divisible by 2.

What are the factors of 9484?

1, 2, 4, 2371, 4742, 9484.

What is 9484 in binary?

10010100001100 (hexadecimal 250C, octal 22414).

What is the square root of 9484?

About 97.3858, exactly 2√2371.

Is 9484 divisible by 3?

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

What is special about the number 9484?

It is a composite number with 6 divisors.

All about 9484

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    9484: is it prime? Factors, square root, binary, Roman numeral | WordGPT