The number 34969
34969 is a perfect square (187²). Its prime factorisation is × . Divisors (9): 1, 11, 17, 121, 187, 289, 2057, 3179, 34969.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34969: a perfect square (187²).
- 2
34969 is composite. Its prime factorisation is
- 3
The divisors add up to 40831; without 34969 itself that is 5862, so 34969 is deficient (5862 is less than 34969). Euler's totient φ(34969) = 29920 numbers up to 34969 share no factor with it.
- 4
The digits of 34969 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34969 = 11^{2} \times 17^{2} \]34969 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 40831 |
| Euler totient φ(n) | 29920 |
| Square | 1222830961 |
| Cube | 42761175875209 |
| Square root | 187 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.4969 × |
| Perfect power |
34969 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand nine hundred and sixty-nine |
| Binary (base 2) | 1000100010011001 |
| Octal (base 8) | 104231 |
| Hexadecimal (base 16) | 8899 |
| Base 3 | 1202222011 |
| As time | 34969 seconds = 9 h 42 min 49 s |
Is 34969 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 | No (remainder 1) | 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 1) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (34969 ÷ 11 = 3179) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34969 a prime number?
No. 34969 = × , so it is divisible by 11.
What are the factors of 34969?
1, 11, 17, 121, 187, 289, 2057, 3179, 34969.
What is 34969 in binary?
1000100010011001 (hexadecimal 8899, octal 104231).
What is the square root of 34969?
187, because 187 × 187 = 34969.
Is 34969 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 34969?
34969 is a perfect square (187²).