The number 31300
31300 is a composite number with 18 divisors. Its prime factorisation is × × 313. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 313, 626, 1252, 1565, 3130, 6260, 7825 … 31300.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31300: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31300 is composite. Its prime factorisation is
- 3
The divisors add up to 68138; without 31300 itself that is 36838, so 31300 is abundant (36838 is more than 31300). Euler's totient φ(31300) = 12480 numbers up to 31300 share no factor with it.
- 4
The digits of 31300 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31300 = 2^{2} \times 5^{2} \times 313 \]31300 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 68138 |
| Euler totient φ(n) | 12480 |
| Square | 979690000 |
| Cube | 30664297000000 |
| Square root | 176.918060 (= 10√313) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.13 × |
31300 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred |
| Binary (base 2) | 111101001000100 |
| Octal (base 8) | 75104 |
| Hexadecimal (base 16) | 7A44 |
| Base 3 | 1120221021 |
| As time | 31300 seconds = 8 h 41 min 40 s |
Is 31300 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31300 ÷ 2 = 15650) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31300 ÷ 4 = 7825) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31300 ÷ 5 = 6260) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (31300 ÷ 10 = 3130) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31300 a prime number?
No. 31300 = × × 313, so it is divisible by 2.
What are the factors of 31300?
1, 2, 4, 5, 10, 20, 25, 50, 100, 313, 626, 1252, 1565, 3130, 6260, 7825, 15650, 31300.
What is 31300 in binary?
111101001000100 (hexadecimal 7A44, octal 75104).
What is the square root of 31300?
About 176.9181, exactly 10√313.
Is 31300 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 31300?
31300 is a happy number: repeatedly adding the squares of its digits reaches 1.