The number 74748
74748 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6229. Divisors (12): 1, 2, 3, 4, 6, 12, 6229, 12458, 18687, 24916, 37374, 74748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74748 is composite. Its prime factorisation is
- 3
The divisors add up to 174440; without 74748 itself that is 99692, so 74748 is abundant (99692 is more than 74748). Euler's totient φ(74748) = 24912 numbers up to 74748 share no factor with it.
- 4
The digits of 74748 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74748 = 2^{2} \times 3 \times 6229 \]74748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 174440 |
| Euler totient φ(n) | 24912 |
| Square | 5587263504 |
| Cube | 417636772396992 |
| Square root | 273.400805 (= 2√18687) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.4748 × |
74748 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and forty-eight |
| Binary (base 2) | 10010001111111100 |
| Octal (base 8) | 221774 |
| Hexadecimal (base 16) | 123FC |
| Base 3 | 10210112110 |
| As time | 74748 seconds = 20 h 45 min 48 s |
Is 74748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74748 ÷ 2 = 37374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74748 ÷ 3 = 24916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74748 ÷ 4 = 18687) | 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 (74748 ÷ 6 = 12458) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74748 ÷ 12 = 6229) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74748 a prime number?
No. 74748 = × 3 × 6229, so it is divisible by 2.
What are the factors of 74748?
1, 2, 3, 4, 6, 12, 6229, 12458, 18687, 24916, 37374, 74748.
What is 74748 in binary?
10010001111111100 (hexadecimal 123FC, octal 221774).
What is the square root of 74748?
About 273.4008, exactly 2√18687.
Is 74748 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 74748?
It is a composite number with 12 divisors.