The number 31148
31148 is a composite number with 12 divisors. Its prime factorisation is × 13 × 599. Divisors (12): 1, 2, 4, 13, 26, 52, 599, 1198, 2396, 7787, 15574, 31148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31148: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31148 is composite. Its prime factorisation is
- 3
The divisors add up to 58800; without 31148 itself that is 27652, so 31148 is deficient (27652 is less than 31148). Euler's totient φ(31148) = 14352 numbers up to 31148 share no factor with it.
- 4
The digits of 31148 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31148 = 2^{2} \times 13 \times 599 \]31148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58800 |
| Euler totient φ(n) | 14352 |
| Square | 970197904 |
| Cube | 30219724313792 |
| Square root | 176.487960 (= 2√7787) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.1148 × |
31148 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and forty-eight |
| Binary (base 2) | 111100110101100 |
| Octal (base 8) | 74654 |
| Hexadecimal (base 16) | 79AC |
| Base 3 | 1120201122 |
| As time | 31148 seconds = 8 h 39 min 8 s |
Is 31148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31148 ÷ 2 = 15574) | 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 (31148 ÷ 4 = 7787) | 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 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 4) | 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 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 31148 a prime number?
No. 31148 = × 13 × 599, so it is divisible by 2.
What are the factors of 31148?
1, 2, 4, 13, 26, 52, 599, 1198, 2396, 7787, 15574, 31148.
What is 31148 in binary?
111100110101100 (hexadecimal 79AC, octal 74654).
What is the square root of 31148?
About 176.4880, exactly 2√7787.
Is 31148 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 31148?
31148 is a happy number: repeatedly adding the squares of its digits reaches 1.