The number 59408
59408 is a composite number with 20 divisors. Its prime factorisation is × 47 × 79. Divisors (20): 1, 2, 4, 8, 16, 47, 79, 94, 158, 188, 316, 376, 632, 752, 1264, 3713 … 59408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59408 is composite. Its prime factorisation is
- 3
The divisors add up to 119040; without 59408 itself that is 59632, so 59408 is abundant (59632 is more than 59408). Euler's totient φ(59408) = 28704 numbers up to 59408 share no factor with it.
- 4
The digits of 59408 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59408 = 2^{4} \times 47 \times 79 \]59408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 119040 |
| Euler totient φ(n) | 28704 |
| Square | 3529310464 |
| Cube | 209669276045312 |
| Square root | 243.737564 (= 4√3713) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9408 × |
59408 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand four hundred and eight |
| Binary (base 2) | 1110100000010000 |
| Octal (base 8) | 164020 |
| Hexadecimal (base 16) | E810 |
| Base 3 | 10000111022 |
| As time | 59408 seconds = 16 h 30 min 8 s |
Is 59408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59408 ÷ 2 = 29704) | 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 | Yes (59408 ÷ 4 = 14852) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (59408 ÷ 8 = 7426) | 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 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59408 a prime number?
No. 59408 = × 47 × 79, so it is divisible by 2.
What are the factors of 59408?
1, 2, 4, 8, 16, 47, 79, 94, 158, 188, 316, 376, 632, 752, 1264, 3713, 7426, 14852, 29704, 59408.
What is 59408 in binary?
1110100000010000 (hexadecimal E810, octal 164020).
What is the square root of 59408?
About 243.7376, exactly 4√3713.
Is 59408 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 59408?
It is a composite number with 20 divisors.