The number 34401
34401 is a binary palindrome (1000011001100001). Its prime factorisation is 3 × 11467. Divisors (4): 1, 3, 11467, 34401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34401: a binary palindrome (1000011001100001); a semiprime: 3 × 11467, the product of two primes.
- 2
34401 is composite. Its prime factorisation is
- 3
The divisors add up to 45872; without 34401 itself that is 11471, so 34401 is deficient (11471 is less than 34401). Euler's totient φ(34401) = 22932 numbers up to 34401 share no factor with it.
- 4
The digits of 34401 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34401 = 3 \times 11467 \]
34401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 45872 |
| Euler totient φ(n) | 22932 |
| Square | 1183428801 |
| Cube | 40711134183201 |
| Square root | 185.475066 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4401 × |
34401 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and one |
| Binary (base 2) | 1000011001100001 |
| Octal (base 8) | 103141 |
| Hexadecimal (base 16) | 8661 |
| Base 3 | 1202012010 |
| As time | 34401 seconds = 9 h 33 min 21 s |
Is 34401 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 (34401 ÷ 3 = 11467) | 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 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 3) | 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 4) | 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 34401 a prime number?
No. 34401 = 3 × 11467, so it is divisible by 3.
What are the factors of 34401?
1, 3, 11467, 34401.
What is 34401 in binary?
1000011001100001 (hexadecimal 8661, octal 103141).
What is the square root of 34401?
About 185.4751.
Is 34401 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 34401?
34401 is a binary palindrome (1000011001100001); a semiprime: 3 × 11467, the product of two primes.