The number 33748
33748 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13 × 59. Divisors (24): 1, 2, 4, 11, 13, 22, 26, 44, 52, 59, 118, 143, 236, 286, 572, 649 … 33748.
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How to work it out
- 1
33748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33748 is composite. Its prime factorisation is
- 3
The divisors add up to 70560; without 33748 itself that is 36812, so 33748 is abundant (36812 is more than 33748). Euler's totient φ(33748) = 13920 numbers up to 33748 share no factor with it.
- 4
The digits of 33748 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33748 = 2^{2} \times 11 \times 13 \times 59 \]33748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 70560 |
| Euler totient φ(n) | 13920 |
| Square | 1138927504 |
| Cube | 38436525404992 |
| Square root | 183.706287 (= 2√8437) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3748 × |
33748 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and forty-eight |
| Binary (base 2) | 1000001111010100 |
| Octal (base 8) | 101724 |
| Hexadecimal (base 16) | 83D4 |
| Base 3 | 1201021221 |
| As time | 33748 seconds = 9 h 22 min 28 s |
Is 33748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33748 ÷ 2 = 16874) | 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 | Yes (33748 ÷ 4 = 8437) | 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 1) | 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 7) | 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 | Yes (33748 ÷ 11 = 3068) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33748 a prime number?
No. 33748 = × 11 × 13 × 59, so it is divisible by 2.
What are the factors of 33748?
1, 2, 4, 11, 13, 22, 26, 44, 52, 59, 118, 143, 236, 286, 572, 649, 767, 1298, 1534, 2596, 3068, 8437, 16874, 33748.
What is 33748 in binary?
1000001111010100 (hexadecimal 83D4, octal 101724).
What is the square root of 33748?
About 183.7063, exactly 2√8437.
Is 33748 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33748?
It is a composite number with 24 divisors.