The number 978
978 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 163. Divisors (8): 1, 2, 3, 6, 163, 326, 489, 978.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
978 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
978 is composite. Its prime factorisation is
- 3
The divisors add up to 1968; without 978 itself that is 990, so 978 is abundant (990 is more than 978). Euler's totient φ(978) = 324 numbers up to 978 share no factor with it.
- 4
The digits of 978 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 978 = 2 \times 3 \times 163 \]
978 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1968 |
| Euler totient φ(n) | 324 |
| Square | 956484 |
| Cube | 935441352 |
| Square root | 31.272992 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 9.78 × |
978 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and seventy-eight |
| Roman numerals | CMLXXVIII |
| Binary (base 2) | 1111010010 |
| Octal (base 8) | 1722 |
| Hexadecimal (base 16) | 3D2 |
| Base 3 | 1100020 |
| As time | 978 seconds = 16 min 18 s |
Is 978 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (978 ÷ 2 = 489) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (978 ÷ 3 = 326) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (978 ÷ 6 = 163) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 978 a prime number?
No. 978 = 2 × 3 × 163, so it is divisible by 2.
What are the factors of 978?
1, 2, 3, 6, 163, 326, 489, 978.
What is 978 in binary?
1111010010 (hexadecimal 3D2, octal 1722).
What is the square root of 978?
About 31.2730.
What is 978 in Roman numerals?
CMLXXVIII.
Is 978 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 978?
It is a composite number with 8 divisors.