The number 916
916 is a composite number with 6 divisors. Its prime factorisation is × 229. Divisors (6): 1, 2, 4, 229, 458, 916.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
916 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
916 is composite. Its prime factorisation is
- 3
The divisors add up to 1610; without 916 itself that is 694, so 916 is deficient (694 is less than 916). Euler's totient φ(916) = 456 numbers up to 916 share no factor with it.
- 4
The digits of 916 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
\[ 916 = 2^{2} \times 229 \]916 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1610 |
| Euler totient φ(n) | 456 |
| Square | 839056 |
| Cube | 768575296 |
| Square root | 30.265492 (= 2√229) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 36 |
| Scientific notation | 9.16 × |
916 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and sixteen |
| Roman numerals | CMXVI |
| Binary (base 2) | 1110010100 |
| Octal (base 8) | 1624 |
| Hexadecimal (base 16) | 394 |
| Base 3 | 1020221 |
| As time | 916 seconds = 15 min 16 s |
Is 916 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (916 ÷ 2 = 458) | 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 (916 ÷ 4 = 229) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 916 a prime number?
No. 916 = × 229, so it is divisible by 2.
What are the factors of 916?
1, 2, 4, 229, 458, 916.
What is 916 in binary?
1110010100 (hexadecimal 394, octal 1624).
What is the square root of 916?
About 30.2655, exactly 2√229.
What is 916 in Roman numerals?
CMXVI.
Is 916 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 916?
It is a composite number with 6 divisors.