The number 34801
34801 is a composite number with 4 divisors. Its prime factorisation is 13 × 2677. Divisors (4): 1, 13, 2677, 34801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34801: a semiprime: 13 × 2677, the product of two primes.
- 2
34801 is composite. Its prime factorisation is
- 3
The divisors add up to 37492; without 34801 itself that is 2691, so 34801 is deficient (2691 is less than 34801). Euler's totient φ(34801) = 32112 numbers up to 34801 share no factor with it.
- 4
The digits of 34801 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34801 = 13 \times 2677 \]
34801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 37492 |
| Euler totient φ(n) | 32112 |
| Square | 1211109601 |
| Cube | 42147825224401 |
| Square root | 186.550261 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.4801 × |
34801 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand eight hundred and one |
| Binary (base 2) | 1000011111110001 |
| Octal (base 8) | 103761 |
| Hexadecimal (base 16) | 87F1 |
| Base 3 | 1202201221 |
| As time | 34801 seconds = 9 h 40 min 1 s |
Is 34801 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 1) | 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 7) | 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 | No (remainder 8) | 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 34801 a prime number?
No. 34801 = 13 × 2677, so it is divisible by 13.
What are the factors of 34801?
1, 13, 2677, 34801.
What is 34801 in binary?
1000011111110001 (hexadecimal 87F1, octal 103761).
What is the square root of 34801?
About 186.5503.
Is 34801 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 34801?
34801 is a semiprime: 13 × 2677, the product of two primes.