The number 3059
3059 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 23. Divisors (8): 1, 7, 19, 23, 133, 161, 437, 3059.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3059 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3059 is composite. Its prime factorisation is
- 3
The divisors add up to 3840; without 3059 itself that is 781, so 3059 is deficient (781 is less than 3059). Euler's totient φ(3059) = 2376 numbers up to 3059 share no factor with it.
- 4
The digits of 3059 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 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3059 = 7 \times 19 \times 23 \]
3059 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3840 |
| Euler totient φ(n) | 2376 |
| Square | 9357481 |
| Cube | 28624534379 |
| Square root | 55.308227 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.059 × |
3059 in other forms
| Form | Value |
|---|---|
| In words | three thousand and fifty-nine |
| Roman numerals | MMMLIX |
| Binary (base 2) | 101111110011 |
| Octal (base 8) | 5763 |
| Hexadecimal (base 16) | BF3 |
| Base 3 | 11012022 |
| As time | 3059 seconds = 50 min 59 s |
Is 3059 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3059 ÷ 7 = 437) | 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 | No (remainder 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3059 a prime number?
No. 3059 = 7 × 19 × 23, so it is divisible by 7.
What are the factors of 3059?
1, 7, 19, 23, 133, 161, 437, 3059.
What is 3059 in binary?
101111110011 (hexadecimal BF3, octal 5763).
What is the square root of 3059?
About 55.3082.
What is 3059 in Roman numerals?
MMMLIX.
Is 3059 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3059?
It is a composite number with 8 divisors.