The number 73748
73748 is a composite number with 12 divisors. Its prime factorisation is × 103 × 179. Divisors (12): 1, 2, 4, 103, 179, 206, 358, 412, 716, 18437, 36874, 73748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73748 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 73748 itself that is 57292, so 73748 is deficient (57292 is less than 73748). Euler's totient φ(73748) = 36312 numbers up to 73748 share no factor with it.
- 4
The digits of 73748 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73748 = 2^{2} \times 103 \times 179 \]73748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 36312 |
| Square | 5438767504 |
| Cube | 401098225884992 |
| Square root | 271.565830 (= 2√18437) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.3748 × |
73748 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and forty-eight |
| Binary (base 2) | 10010000000010100 |
| Octal (base 8) | 220024 |
| Hexadecimal (base 16) | 12014 |
| Base 3 | 10202011102 |
| As time | 73748 seconds = 20 h 29 min 8 s |
Is 73748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73748 ÷ 2 = 36874) | 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 (73748 ÷ 4 = 18437) | 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 | No (remainder 3) | 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 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73748 a prime number?
No. 73748 = × 103 × 179, so it is divisible by 2.
What are the factors of 73748?
1, 2, 4, 103, 179, 206, 358, 412, 716, 18437, 36874, 73748.
What is 73748 in binary?
10010000000010100 (hexadecimal 12014, octal 220024).
What is the square root of 73748?
About 271.5658, exactly 2√18437.
Is 73748 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 73748?
It is a composite number with 12 divisors.