The number 48974
48974 is a composite number with 8 divisors. Its prime factorisation is 2 × 47 × 521. Divisors (8): 1, 2, 47, 94, 521, 1042, 24487, 48974.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48974: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48974 is composite. Its prime factorisation is
- 3
The divisors add up to 75168; without 48974 itself that is 26194, so 48974 is deficient (26194 is less than 48974). Euler's totient φ(48974) = 23920 numbers up to 48974 share no factor with it.
- 4
The digits of 48974 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48974 = 2 \times 47 \times 521 \]
48974 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75168 |
| Euler totient φ(n) | 23920 |
| Square | 2398452676 |
| Cube | 117461821354424 |
| Square root | 221.300700 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.8974 × |
48974 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and seventy-four |
| Binary (base 2) | 1011111101001110 |
| Octal (base 8) | 137516 |
| Hexadecimal (base 16) | BF4E |
| Base 3 | 2111011212 |
| As time | 48974 seconds = 13 h 36 min 14 s |
Is 48974 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48974 ÷ 2 = 24487) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 6) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48974 a prime number?
No. 48974 = 2 × 47 × 521, so it is divisible by 2.
What are the factors of 48974?
1, 2, 47, 94, 521, 1042, 24487, 48974.
What is 48974 in binary?
1011111101001110 (hexadecimal BF4E, octal 137516).
What is the square root of 48974?
About 221.3007.
Is 48974 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 48974?
48974 is a happy number: repeatedly adding the squares of its digits reaches 1.