The number 10948
10948 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 23. Divisors (24): 1, 2, 4, 7, 14, 17, 23, 28, 34, 46, 68, 92, 119, 161, 238, 322 … 10948.
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How to work it out
- 1
10948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10948 is composite. Its prime factorisation is
- 3
The divisors add up to 24192; without 10948 itself that is 13244, so 10948 is abundant (13244 is more than 10948). Euler's totient φ(10948) = 4224 numbers up to 10948 share no factor with it.
- 4
The digits of 10948 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10948 = 2^{2} \times 7 \times 17 \times 23 \]10948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 24192 |
| Euler totient φ(n) | 4224 |
| Square | 119858704 |
| Cube | 1312213091392 |
| Square root | 104.632691 (= 2√2737) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0948 × |
10948 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and forty-eight |
| Binary (base 2) | 10101011000100 |
| Octal (base 8) | 25304 |
| Hexadecimal (base 16) | 2AC4 |
| Base 3 | 120000111 |
| As time | 10948 seconds = 3 h 2 min 28 s |
Is 10948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10948 ÷ 2 = 5474) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10948 ÷ 4 = 2737) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10948 ÷ 7 = 1564) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10948 a prime number?
No. 10948 = × 7 × 17 × 23, so it is divisible by 2.
What are the factors of 10948?
1, 2, 4, 7, 14, 17, 23, 28, 34, 46, 68, 92, 119, 161, 238, 322, 391, 476, 644, 782, 1564, 2737, 5474, 10948.
What is 10948 in binary?
10101011000100 (hexadecimal 2AC4, octal 25304).
What is the square root of 10948?
About 104.6327, exactly 2√2737.
Is 10948 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 10948?
It is a composite number with 24 divisors.