The number 34138
34138 is a composite number with 12 divisors. Its prime factorisation is 2 × × 101. Divisors (12): 1, 2, 13, 26, 101, 169, 202, 338, 1313, 2626, 17069, 34138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34138 is composite. Its prime factorisation is
- 3
The divisors add up to 55998; without 34138 itself that is 21860, so 34138 is deficient (21860 is less than 34138). Euler's totient φ(34138) = 15600 numbers up to 34138 share no factor with it.
- 4
The digits of 34138 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34138 = 2 \times 13^{2} \times 101 \]34138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 55998 |
| Euler totient φ(n) | 15600 |
| Square | 1165403044 |
| Cube | 39784529116072 |
| Square root | 184.764715 (= 13√202) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.4138 × |
34138 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand one hundred and thirty-eight |
| Binary (base 2) | 1000010101011010 |
| Octal (base 8) | 102532 |
| Hexadecimal (base 16) | 855A |
| Base 3 | 1201211101 |
| As time | 34138 seconds = 9 h 28 min 58 s |
Is 34138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34138 ÷ 2 = 17069) | 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 3) | 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 6) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 34138 a prime number?
No. 34138 = 2 × × 101, so it is divisible by 2.
What are the factors of 34138?
1, 2, 13, 26, 101, 169, 202, 338, 1313, 2626, 17069, 34138.
What is 34138 in binary?
1000010101011010 (hexadecimal 855A, octal 102532).
What is the square root of 34138?
About 184.7647, exactly 13√202.
Is 34138 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 34138?
It is a composite number with 12 divisors.