The number 920
920 is a composite number with 16 divisors. Its prime factorisation is × 5 × 23. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
920 is composite. Its prime factorisation is
- 3
The divisors add up to 2160; without 920 itself that is 1240, so 920 is abundant (1240 is more than 920). Euler's totient φ(920) = 352 numbers up to 920 share no factor with it.
- 4
The digits of 920 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 920 = 2^{3} \times 5 \times 23 \]920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 2160 |
| Euler totient φ(n) | 352 |
| Square | 846400 |
| Cube | 778688000 |
| Square root | 30.331502 (= 2√230) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 36 |
| Scientific notation | 9.2 × |
920 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and twenty |
| Roman numerals | CMXX |
| Binary (base 2) | 1110011000 |
| Octal (base 8) | 1630 |
| Hexadecimal (base 16) | 398 |
| Base 3 | 1021002 |
| As time | 920 seconds = 15 min 20 s |
Is 920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (920 ÷ 2 = 460) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (920 ÷ 4 = 230) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (920 ÷ 5 = 184) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (920 ÷ 8 = 115) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (920 ÷ 10 = 92) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 920 a prime number?
No. 920 = × 5 × 23, so it is divisible by 2.
What are the factors of 920?
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920.
What is 920 in binary?
1110011000 (hexadecimal 398, octal 1630).
What is the square root of 920?
About 30.3315, exactly 2√230.
What is 920 in Roman numerals?
CMXX.
Is 920 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 920?
It is a composite number with 16 divisors.