The number 34748
34748 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 73. Divisors (24): 1, 2, 4, 7, 14, 17, 28, 34, 68, 73, 119, 146, 238, 292, 476, 511 … 34748.
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How to work it out
- 1
34748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34748 is composite. Its prime factorisation is
- 3
The divisors add up to 74592; without 34748 itself that is 39844, so 34748 is abundant (39844 is more than 34748). Euler's totient φ(34748) = 13824 numbers up to 34748 share no factor with it.
- 4
The digits of 34748 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34748 = 2^{2} \times 7 \times 17 \times 73 \]34748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 74592 |
| Euler totient φ(n) | 13824 |
| Square | 1207423504 |
| Cube | 41955551916992 |
| Square root | 186.408154 (= 2√8687) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.4748 × |
34748 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand seven hundred and forty-eight |
| Binary (base 2) | 1000011110111100 |
| Octal (base 8) | 103674 |
| Hexadecimal (base 16) | 87BC |
| Base 3 | 1202122222 |
| As time | 34748 seconds = 9 h 39 min 8 s |
Is 34748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34748 ÷ 2 = 17374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34748 ÷ 4 = 8687) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (34748 ÷ 7 = 4964) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34748 a prime number?
No. 34748 = × 7 × 17 × 73, so it is divisible by 2.
What are the factors of 34748?
1, 2, 4, 7, 14, 17, 28, 34, 68, 73, 119, 146, 238, 292, 476, 511, 1022, 1241, 2044, 2482, 4964, 8687, 17374, 34748.
What is 34748 in binary?
1000011110111100 (hexadecimal 87BC, octal 103674).
What is the square root of 34748?
About 186.4082, exactly 2√8687.
Is 34748 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 34748?
It is a composite number with 24 divisors.