The number 31059
31059 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 29. Divisors (24): 1, 3, 7, 9, 17, 21, 29, 51, 63, 87, 119, 153, 203, 261, 357, 493 … 31059.
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How to work it out
- 1
31059 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31059 is composite. Its prime factorisation is
- 3
The divisors add up to 56160; without 31059 itself that is 25101, so 31059 is deficient (25101 is less than 31059). Euler's totient φ(31059) = 16128 numbers up to 31059 share no factor with it.
- 4
The digits of 31059 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31059 = 3^{2} \times 7 \times 17 \times 29 \]31059 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 56160 |
| Euler totient φ(n) | 16128 |
| Square | 964661481 |
| Cube | 29961420938379 |
| Square root | 176.235638 (= 3√3451) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1059 × |
31059 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and fifty-nine |
| Binary (base 2) | 111100101010011 |
| Octal (base 8) | 74523 |
| Hexadecimal (base 16) | 7953 |
| Base 3 | 1120121100 |
| As time | 31059 seconds = 8 h 37 min 39 s |
Is 31059 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31059 ÷ 3 = 10353) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31059 ÷ 7 = 4437) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31059 ÷ 9 = 3451) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31059 a prime number?
No. 31059 = × 7 × 17 × 29, so it is divisible by 3.
What are the factors of 31059?
1, 3, 7, 9, 17, 21, 29, 51, 63, 87, 119, 153, 203, 261, 357, 493, 609, 1071, 1479, 1827, 3451, 4437, 10353, 31059.
What is 31059 in binary?
111100101010011 (hexadecimal 7953, octal 74523).
What is the square root of 31059?
About 176.2356, exactly 3√3451.
Is 31059 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31059?
It is a composite number with 24 divisors.