The number 74048
74048 is a composite number with 28 divisors. Its prime factorisation is × 13 × 89. Divisors (28): 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 89, 104, 178, 208, 356, 416 … 74048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74048 is composite. Its prime factorisation is
- 3
The divisors add up to 160020; without 74048 itself that is 85972, so 74048 is abundant (85972 is more than 74048). Euler's totient φ(74048) = 33792 numbers up to 74048 share no factor with it.
- 4
The digits of 74048 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74048 = 2^{6} \times 13 \times 89 \]74048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 160020 |
| Euler totient φ(n) | 33792 |
| Square | 5483106304 |
| Cube | 406013055598592 |
| Square root | 272.117622 (= 8√1157) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.4048 × |
74048 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and forty-eight |
| Binary (base 2) | 10010000101000000 |
| Octal (base 8) | 220500 |
| Hexadecimal (base 16) | 12140 |
| Base 3 | 10202120112 |
| As time | 74048 seconds = 20 h 34 min 8 s |
Is 74048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74048 ÷ 2 = 37024) | 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 (74048 ÷ 4 = 18512) | 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 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 | Yes (74048 ÷ 8 = 9256) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | 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 74048 a prime number?
No. 74048 = × 13 × 89, so it is divisible by 2.
What are the factors of 74048?
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 89, 104, 178, 208, 356, 416, 712, 832, 1157, 1424, 2314, 2848, 4628, 5696, 9256, 18512, 37024, 74048.
What is 74048 in binary?
10010000101000000 (hexadecimal 12140, octal 220500).
What is the square root of 74048?
About 272.1176, exactly 8√1157.
Is 74048 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 74048?
It is a composite number with 28 divisors.