The number 952
952 is a composite number with 16 divisors. Its prime factorisation is × 7 × 17. Divisors (16): 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
952 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
952 is composite. Its prime factorisation is
- 3
The divisors add up to 2160; without 952 itself that is 1208, so 952 is abundant (1208 is more than 952). Euler's totient φ(952) = 384 numbers up to 952 share no factor with it.
- 4
The digits of 952 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 952 = 2^{3} \times 7 \times 17 \]952 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 2160 |
| Euler totient φ(n) | 384 |
| Square | 906304 |
| Cube | 862801408 |
| Square root | 30.854497 (= 2√238) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 36 |
| Scientific notation | 9.52 × |
952 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and fifty-two |
| Roman numerals | CMLII |
| Binary (base 2) | 1110111000 |
| Octal (base 8) | 1670 |
| Hexadecimal (base 16) | 3B8 |
| Base 3 | 1022021 |
| As time | 952 seconds = 15 min 52 s |
Is 952 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (952 ÷ 2 = 476) | 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 (952 ÷ 4 = 238) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 (952 ÷ 7 = 136) | 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 | Yes (952 ÷ 8 = 119) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 952 a prime number?
No. 952 = × 7 × 17, so it is divisible by 2.
What are the factors of 952?
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952.
What is 952 in binary?
1110111000 (hexadecimal 3B8, octal 1670).
What is the square root of 952?
About 30.8545, exactly 2√238.
What is 952 in Roman numerals?
CMLII.
Is 952 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 952?
It is a composite number with 16 divisors.