The number 34038
34038 is a composite number with 24 divisors. Its prime factorisation is 2 × × 31 × 61. Divisors (24): 1, 2, 3, 6, 9, 18, 31, 61, 62, 93, 122, 183, 186, 279, 366, 549 … 34038.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34038: a Harshad number: divisible by its digit sum 18.
- 2
34038 is composite. Its prime factorisation is
- 3
The divisors add up to 77376; without 34038 itself that is 43338, so 34038 is abundant (43338 is more than 34038). Euler's totient φ(34038) = 10800 numbers up to 34038 share no factor with it.
- 4
The digits of 34038 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34038 = 2 \times 3^{2} \times 31 \times 61 \]34038 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 77376 |
| Euler totient φ(n) | 10800 |
| Square | 1158585444 |
| Cube | 39435931342872 |
| Square root | 184.493902 (= 3√3782) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.4038 × |
34038 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and thirty-eight |
| Binary (base 2) | 1000010011110110 |
| Octal (base 8) | 102366 |
| Hexadecimal (base 16) | 84F6 |
| Base 3 | 1201200200 |
| As time | 34038 seconds = 9 h 27 min 18 s |
Is 34038 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34038 ÷ 2 = 17019) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34038 ÷ 3 = 11346) | 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 | Yes (34038 ÷ 6 = 5673) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (34038 ÷ 9 = 3782) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34038 a prime number?
No. 34038 = 2 × × 31 × 61, so it is divisible by 2.
What are the factors of 34038?
1, 2, 3, 6, 9, 18, 31, 61, 62, 93, 122, 183, 186, 279, 366, 549, 558, 1098, 1891, 3782, 5673, 11346, 17019, 34038.
What is 34038 in binary?
1000010011110110 (hexadecimal 84F6, octal 102366).
What is the square root of 34038?
About 184.4939, exactly 3√3782.
Is 34038 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 34038?
34038 is a Harshad number: divisible by its digit sum 18.