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The number 9848

9848 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 1231. Divisors (8): 1, 2, 4, 8, 1231, 2462, 4924, 9848.

Number

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How to work it out

  1. 1

    9848 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

    9848 is composite. Its prime factorisation is

    9848=23×12319848 = 2^{3} \times 1231
  3. 3

    The divisors add up to 18480; without 9848 itself that is 8632, so 9848 is deficient (8632 is less than 9848). Euler's totient φ(9848) = 4920 numbers up to 9848 share no factor with it.

  4. 4

    The digits of 9848 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
\[ 9848 = 2^{3} \times 1231 \]

9848 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors18480
Euler totient φ(n)4920
Square96983104
Cube955089608192
Square root99.237090 (= 2√2462)
Digit sum / digital root29 / 2
Collatz steps to 173
Scientific notation9.848 × 10310^{3}

9848 in other forms

FormValue
In wordsnine thousand eight hundred and forty-eight
Binary (base 2)10011001111000
Octal (base 8)23170
Hexadecimal (base 16)2678
Base 3111111202
As time9848 seconds = 2 h 44 min 8 s

Is 9848 divisible by 2 to 12?

DivisorAnswerRule
2Yes (9848 ÷ 2 = 4924)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.
4Yes (9848 ÷ 4 = 2462)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 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.
8Yes (9848 ÷ 8 = 1231)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 9848 a prime number?

No. 9848 = 232^{3} × 1231, so it is divisible by 2.

What are the factors of 9848?

1, 2, 4, 8, 1231, 2462, 4924, 9848.

What is 9848 in binary?

10011001111000 (hexadecimal 2678, octal 23170).

What is the square root of 9848?

About 99.2371, exactly 2√2462.

Is 9848 divisible by 3?

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

What is special about the number 9848?

It is a composite number with 8 divisors.

All about 9848

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