The number 35748
35748 is a composite number with 24 divisors. Its prime factorisation is × × 331. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 331, 662, 993, 1324 … 35748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35748: a Harshad number: divisible by its digit sum 27.
- 2
35748 is composite. Its prime factorisation is
- 3
The divisors add up to 92960; without 35748 itself that is 57212, so 35748 is abundant (57212 is more than 35748). Euler's totient φ(35748) = 11880 numbers up to 35748 share no factor with it.
- 4
The digits of 35748 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35748 = 2^{2} \times 3^{3} \times 331 \]35748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 92960 |
| Euler totient φ(n) | 11880 |
| Square | 1277919504 |
| Cube | 45683066428992 |
| Square root | 189.071415 (= 6√993) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.5748 × |
35748 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and forty-eight |
| Binary (base 2) | 1000101110100100 |
| Octal (base 8) | 105644 |
| Hexadecimal (base 16) | 8BA4 |
| Base 3 | 1211001000 |
| As time | 35748 seconds = 9 h 55 min 48 s |
Is 35748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35748 ÷ 2 = 17874) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35748 ÷ 3 = 11916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35748 ÷ 4 = 8937) | 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 (35748 ÷ 6 = 5958) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (35748 ÷ 9 = 3972) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35748 ÷ 12 = 2979) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35748 a prime number?
No. 35748 = × × 331, so it is divisible by 2.
What are the factors of 35748?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 331, 662, 993, 1324, 1986, 2979, 3972, 5958, 8937, 11916, 17874, 35748.
What is 35748 in binary?
1000101110100100 (hexadecimal 8BA4, octal 105644).
What is the square root of 35748?
About 189.0714, exactly 6√993.
Is 35748 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 35748?
35748 is a Harshad number: divisible by its digit sum 27.