The number 928
928 is a composite number with 12 divisors. Its prime factorisation is × 29. Divisors (12): 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
928 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
928 is composite. Its prime factorisation is
- 3
The divisors add up to 1890; without 928 itself that is 962, so 928 is abundant (962 is more than 928). Euler's totient φ(928) = 448 numbers up to 928 share no factor with it.
- 4
The digits of 928 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 928 = 2^{5} \times 29 \]928 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1890 |
| Euler totient φ(n) | 448 |
| Square | 861184 |
| Cube | 799178752 |
| Square root | 30.463092 (= 4√58) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 23 |
| Scientific notation | 9.28 × |
928 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and twenty-eight |
| Roman numerals | CMXXVIII |
| Binary (base 2) | 1110100000 |
| Octal (base 8) | 1640 |
| Hexadecimal (base 16) | 3A0 |
| Base 3 | 1021101 |
| As time | 928 seconds = 15 min 28 s |
Is 928 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (928 ÷ 2 = 464) | 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 (928 ÷ 4 = 232) | 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 | No (remainder 4) | 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 (928 ÷ 8 = 116) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | 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 928 a prime number?
No. 928 = × 29, so it is divisible by 2.
What are the factors of 928?
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928.
What is 928 in binary?
1110100000 (hexadecimal 3A0, octal 1640).
What is the square root of 928?
About 30.4631, exactly 4√58.
What is 928 in Roman numerals?
CMXXVIII.
Is 928 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 928?
It is a composite number with 12 divisors.