The number 59008
59008 is a composite number with 16 divisors. Its prime factorisation is × 461. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 461, 922, 1844, 3688, 7376, 14752, 29504, 59008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59008 is composite. Its prime factorisation is
- 3
The divisors add up to 117810; without 59008 itself that is 58802, so 59008 is deficient (58802 is less than 59008). Euler's totient φ(59008) = 29440 numbers up to 59008 share no factor with it.
- 4
The digits of 59008 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59008 = 2^{7} \times 461 \]59008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 117810 |
| Euler totient φ(n) | 29440 |
| Square | 3481944064 |
| Cube | 205462555328512 |
| Square root | 242.915623 (= 8√922) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 5.9008 × |
59008 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and eight |
| Binary (base 2) | 1110011010000000 |
| Octal (base 8) | 163200 |
| Hexadecimal (base 16) | E680 |
| Base 3 | 2222221111 |
| As time | 59008 seconds = 16 h 23 min 28 s |
Is 59008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59008 ÷ 2 = 29504) | 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 (59008 ÷ 4 = 14752) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 | Yes (59008 ÷ 8 = 7376) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 59008 a prime number?
No. 59008 = × 461, so it is divisible by 2.
What are the factors of 59008?
1, 2, 4, 8, 16, 32, 64, 128, 461, 922, 1844, 3688, 7376, 14752, 29504, 59008.
What is 59008 in binary?
1110011010000000 (hexadecimal E680, octal 163200).
What is the square root of 59008?
About 242.9156, exactly 8√922.
Is 59008 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 59008?
It is a composite number with 16 divisors.