The number 34402
34402 is a composite number with 8 divisors. Its prime factorisation is 2 × 103 × 167. Divisors (8): 1, 2, 103, 167, 206, 334, 17201, 34402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34402 is composite. Its prime factorisation is
- 3
The divisors add up to 52416; without 34402 itself that is 18014, so 34402 is deficient (18014 is less than 34402). Euler's totient φ(34402) = 16932 numbers up to 34402 share no factor with it.
- 4
The digits of 34402 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34402 = 2 \times 103 \times 167 \]
34402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52416 |
| Euler totient φ(n) | 16932 |
| Square | 1183497604 |
| Cube | 40714684572808 |
| Square root | 185.477761 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.4402 × |
34402 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and two |
| Binary (base 2) | 1000011001100010 |
| Octal (base 8) | 103142 |
| Hexadecimal (base 16) | 8662 |
| Base 3 | 1202012011 |
| As time | 34402 seconds = 9 h 33 min 22 s |
Is 34402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34402 ÷ 2 = 17201) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34402 a prime number?
No. 34402 = 2 × 103 × 167, so it is divisible by 2.
What are the factors of 34402?
1, 2, 103, 167, 206, 334, 17201, 34402.
What is 34402 in binary?
1000011001100010 (hexadecimal 8662, octal 103142).
What is the square root of 34402?
About 185.4778.
Is 34402 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 34402?
It is a composite number with 8 divisors.