The number 31274
31274 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 823. Divisors (8): 1, 2, 19, 38, 823, 1646, 15637, 31274.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31274: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31274 is composite. Its prime factorisation is
- 3
The divisors add up to 49440; without 31274 itself that is 18166, so 31274 is deficient (18166 is less than 31274). Euler's totient φ(31274) = 14796 numbers up to 31274 share no factor with it.
- 4
The digits of 31274 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31274 = 2 \times 19 \times 823 \]
31274 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 49440 |
| Euler totient φ(n) | 14796 |
| Square | 978063076 |
| Cube | 30587944638824 |
| Square root | 176.844565 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1274 × |
31274 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and seventy-four |
| Binary (base 2) | 111101000101010 |
| Octal (base 8) | 75052 |
| Hexadecimal (base 16) | 7A2A |
| Base 3 | 1120220022 |
| As time | 31274 seconds = 8 h 41 min 14 s |
Is 31274 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31274 ÷ 2 = 15637) | 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 5) | 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 8) | 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 1) | 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 31274 a prime number?
No. 31274 = 2 × 19 × 823, so it is divisible by 2.
What are the factors of 31274?
1, 2, 19, 38, 823, 1646, 15637, 31274.
What is 31274 in binary?
111101000101010 (hexadecimal 7A2A, octal 75052).
What is the square root of 31274?
About 176.8446.
Is 31274 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 31274?
31274 is a happy number: repeatedly adding the squares of its digits reaches 1.