The number 34991
34991 is a composite number with 4 divisors. Its prime factorisation is 11 × 3181. Divisors (4): 1, 11, 3181, 34991.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34991: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3181, the product of two primes.
- 2
34991 is composite. Its prime factorisation is
- 3
The divisors add up to 38184; without 34991 itself that is 3193, so 34991 is deficient (3193 is less than 34991). Euler's totient φ(34991) = 31800 numbers up to 34991 share no factor with it.
- 4
The digits of 34991 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34991 = 11 \times 3181 \]
34991 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 38184 |
| Euler totient φ(n) | 31800 |
| Square | 1224370081 |
| Cube | 42841933504271 |
| Square root | 187.058814 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.4991 × |
34991 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand nine hundred and ninety-one |
| Binary (base 2) | 1000100010101111 |
| Octal (base 8) | 104257 |
| Hexadecimal (base 16) | 88AF |
| Base 3 | 1202222222 |
| As time | 34991 seconds = 9 h 43 min 11 s |
Is 34991 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (34991 ÷ 11 = 3181) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34991 a prime number?
No. 34991 = 11 × 3181, so it is divisible by 11.
What are the factors of 34991?
1, 11, 3181, 34991.
What is 34991 in binary?
1000100010101111 (hexadecimal 88AF, octal 104257).
What is the square root of 34991?
About 187.0588.
Is 34991 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 34991?
34991 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3181, the product of two primes.