The number 31370
31370 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 3137. Divisors (8): 1, 2, 5, 10, 3137, 6274, 15685, 31370.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31370: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31370 is composite. Its prime factorisation is
- 3
The divisors add up to 56484; without 31370 itself that is 25114, so 31370 is deficient (25114 is less than 31370). Euler's totient φ(31370) = 12544 numbers up to 31370 share no factor with it.
- 4
The digits of 31370 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31370 = 2 \times 5 \times 3137 \]
31370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 56484 |
| Euler totient φ(n) | 12544 |
| Square | 984076900 |
| Cube | 30870492353000 |
| Square root | 177.115781 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.137 × |
31370 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and seventy |
| Binary (base 2) | 111101010001010 |
| Octal (base 8) | 75212 |
| Hexadecimal (base 16) | 7A8A |
| Base 3 | 1121000212 |
| As time | 31370 seconds = 8 h 42 min 50 s |
Is 31370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31370 ÷ 2 = 15685) | 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 | Yes (31370 ÷ 5 = 6274) | 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 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (31370 ÷ 10 = 3137) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 31370 a prime number?
No. 31370 = 2 × 5 × 3137, so it is divisible by 2.
What are the factors of 31370?
1, 2, 5, 10, 3137, 6274, 15685, 31370.
What is 31370 in binary?
111101010001010 (hexadecimal 7A8A, octal 75212).
What is the square root of 31370?
About 177.1158.
Is 31370 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31370?
31370 is a happy number: repeatedly adding the squares of its digits reaches 1.