The number 59348
59348 is a composite number with 12 divisors. Its prime factorisation is × 37 × 401. Divisors (12): 1, 2, 4, 37, 74, 148, 401, 802, 1604, 14837, 29674, 59348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59348 is composite. Its prime factorisation is
- 3
The divisors add up to 106932; without 59348 itself that is 47584, so 59348 is deficient (47584 is less than 59348). Euler's totient φ(59348) = 28800 numbers up to 59348 share no factor with it.
- 4
The digits of 59348 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59348 = 2^{2} \times 37 \times 401 \]59348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 106932 |
| Euler totient φ(n) | 28800 |
| Square | 3522185104 |
| Cube | 209034641552192 |
| Square root | 243.614449 (= 2√14837) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.9348 × |
59348 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand three hundred and forty-eight |
| Binary (base 2) | 1110011111010100 |
| Octal (base 8) | 163724 |
| Hexadecimal (base 16) | E7D4 |
| Base 3 | 10000102002 |
| As time | 59348 seconds = 16 h 29 min 8 s |
Is 59348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59348 ÷ 2 = 29674) | 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 (59348 ÷ 4 = 14837) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 59348 a prime number?
No. 59348 = × 37 × 401, so it is divisible by 2.
What are the factors of 59348?
1, 2, 4, 37, 74, 148, 401, 802, 1604, 14837, 29674, 59348.
What is 59348 in binary?
1110011111010100 (hexadecimal E7D4, octal 163724).
What is the square root of 59348?
About 243.6144, exactly 2√14837.
Is 59348 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 59348?
It is a composite number with 12 divisors.