The number 74848
74848 is a composite number with 12 divisors. Its prime factorisation is × 2339. Divisors (12): 1, 2, 4, 8, 16, 32, 2339, 4678, 9356, 18712, 37424, 74848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74848 is composite. Its prime factorisation is
- 3
The divisors add up to 147420; without 74848 itself that is 72572, so 74848 is deficient (72572 is less than 74848). Euler's totient φ(74848) = 37408 numbers up to 74848 share no factor with it.
- 4
The digits of 74848 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74848 = 2^{5} \times 2339 \]74848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 147420 |
| Euler totient φ(n) | 37408 |
| Square | 5602223104 |
| Cube | 419315194888192 |
| Square root | 273.583625 (= 4√4678) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.4848 × |
74848 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand eight hundred and forty-eight |
| Binary (base 2) | 10010010001100000 |
| Octal (base 8) | 222140 |
| Hexadecimal (base 16) | 12460 |
| Base 3 | 10210200011 |
| As time | 74848 seconds = 20 h 47 min 28 s |
Is 74848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74848 ÷ 2 = 37424) | 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 (74848 ÷ 4 = 18712) | 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 4) | 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 | Yes (74848 ÷ 8 = 9356) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74848 a prime number?
No. 74848 = × 2339, so it is divisible by 2.
What are the factors of 74848?
1, 2, 4, 8, 16, 32, 2339, 4678, 9356, 18712, 37424, 74848.
What is 74848 in binary?
10010010001100000 (hexadecimal 12460, octal 222140).
What is the square root of 74848?
About 273.5836, exactly 4√4678.
Is 74848 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 74848?
It is a composite number with 12 divisors.