The number 59001
59001 is a composite number with 8 divisors. Its prime factorisation is 3 × 71 × 277. Divisors (8): 1, 3, 71, 213, 277, 831, 19667, 59001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59001 is composite. Its prime factorisation is
- 3
The divisors add up to 80064; without 59001 itself that is 21063, so 59001 is deficient (21063 is less than 59001). Euler's totient φ(59001) = 38640 numbers up to 59001 share no factor with it.
- 4
The digits of 59001 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59001 = 3 \times 71 \times 277 \]
59001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80064 |
| Euler totient φ(n) | 38640 |
| Square | 3481118001 |
| Cube | 205389443177001 |
| Square root | 242.901214 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.9001 × |
59001 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and one |
| Binary (base 2) | 1110011001111001 |
| Octal (base 8) | 163171 |
| Hexadecimal (base 16) | E679 |
| Base 3 | 2222221020 |
| As time | 59001 seconds = 16 h 23 min 21 s |
Is 59001 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 (59001 ÷ 3 = 19667) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59001 a prime number?
No. 59001 = 3 × 71 × 277, so it is divisible by 3.
What are the factors of 59001?
1, 3, 71, 213, 277, 831, 19667, 59001.
What is 59001 in binary?
1110011001111001 (hexadecimal E679, octal 163171).
What is the square root of 59001?
About 242.9012.
Is 59001 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 59001?
It is a composite number with 8 divisors.