The number 948
948 is a composite number with 12 divisors. Its prime factorisation is × 3 × 79. Divisors (12): 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
948 is composite. Its prime factorisation is
- 3
The divisors add up to 2240; without 948 itself that is 1292, so 948 is abundant (1292 is more than 948). Euler's totient φ(948) = 312 numbers up to 948 share no factor with it.
- 4
The digits of 948 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 948 = 2^{2} \times 3 \times 79 \]948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2240 |
| Euler totient φ(n) | 312 |
| Square | 898704 |
| Cube | 851971392 |
| Square root | 30.789609 (= 2√237) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 9.48 × |
948 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and forty-eight |
| Roman numerals | CMXLVIII |
| Binary (base 2) | 1110110100 |
| Octal (base 8) | 1664 |
| Hexadecimal (base 16) | 3B4 |
| Base 3 | 1022010 |
| As time | 948 seconds = 15 min 48 s |
Is 948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (948 ÷ 2 = 474) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (948 ÷ 3 = 316) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (948 ÷ 4 = 237) | 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 | Yes (948 ÷ 6 = 158) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (948 ÷ 12 = 79) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 948 a prime number?
No. 948 = × 3 × 79, so it is divisible by 2.
What are the factors of 948?
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948.
What is 948 in binary?
1110110100 (hexadecimal 3B4, octal 1664).
What is the square root of 948?
About 30.7896, exactly 2√237.
What is 948 in Roman numerals?
CMXLVIII.
Is 948 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 948?
It is a composite number with 12 divisors.