The number 32474
32474 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1249. Divisors (8): 1, 2, 13, 26, 1249, 2498, 16237, 32474.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32474: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32474 is composite. Its prime factorisation is
- 3
The divisors add up to 52500; without 32474 itself that is 20026, so 32474 is deficient (20026 is less than 32474). Euler's totient φ(32474) = 14976 numbers up to 32474 share no factor with it.
- 4
The digits of 32474 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32474 = 2 \times 13 \times 1249 \]
32474 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52500 |
| Euler totient φ(n) | 14976 |
| Square | 1054560676 |
| Cube | 34245803392424 |
| Square root | 180.205438 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2474 × |
32474 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and seventy-four |
| Binary (base 2) | 111111011011010 |
| Octal (base 8) | 77332 |
| Hexadecimal (base 16) | 7EDA |
| Base 3 | 1122112202 |
| As time | 32474 seconds = 9 h 1 min 14 s |
Is 32474 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32474 ÷ 2 = 16237) | 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 1) | 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 2) | 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 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 32474 a prime number?
No. 32474 = 2 × 13 × 1249, so it is divisible by 2.
What are the factors of 32474?
1, 2, 13, 26, 1249, 2498, 16237, 32474.
What is 32474 in binary?
111111011011010 (hexadecimal 7EDA, octal 77332).
What is the square root of 32474?
About 180.2054.
Is 32474 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 32474?
32474 is a happy number: repeatedly adding the squares of its digits reaches 1.