The number 969
969 is a palindrome: it reads 969 backwards too. Its prime factorisation is 3 × 17 × 19. Divisors (8): 1, 3, 17, 19, 51, 57, 323, 969.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 969: a palindrome: it reads 969 backwards too.
- 2
969 is composite. Its prime factorisation is
- 3
The divisors add up to 1440; without 969 itself that is 471, so 969 is deficient (471 is less than 969). Euler's totient φ(969) = 576 numbers up to 969 share no factor with it.
- 4
The digits of 969 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
\[ 969 = 3 \times 17 \times 19 \]
969 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1440 |
| Euler totient φ(n) | 576 |
| Square | 938961 |
| Cube | 909853209 |
| Square root | 31.128765 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 9.69 × |
969 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and sixty-nine |
| Roman numerals | CMLXIX |
| Binary (base 2) | 1111001001 |
| Octal (base 8) | 1711 |
| Hexadecimal (base 16) | 3C9 |
| Base 3 | 1022220 |
| As time | 969 seconds = 16 min 9 s |
Is 969 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (969 ÷ 3 = 323) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 969 a prime number?
No. 969 = 3 × 17 × 19, so it is divisible by 3.
What are the factors of 969?
1, 3, 17, 19, 51, 57, 323, 969.
What is 969 in binary?
1111001001 (hexadecimal 3C9, octal 1711).
What is the square root of 969?
About 31.1288.
What is 969 in Roman numerals?
CMLXIX.
Is 969 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 969?
969 is a palindrome: it reads 969 backwards too.