The number 59124
59124 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 379. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 379, 758, 1137, 1516 … 59124.
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How to work it out
- 1
59124 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59124 is composite. Its prime factorisation is
- 3
The divisors add up to 148960; without 59124 itself that is 89836, so 59124 is abundant (89836 is more than 59124). Euler's totient φ(59124) = 18144 numbers up to 59124 share no factor with it.
- 4
The digits of 59124 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 210 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59124 = 2^{2} \times 3 \times 13 \times 379 \]59124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 148960 |
| Euler totient φ(n) | 18144 |
| Square | 3495647376 |
| Cube | 206676655458624 |
| Square root | 243.154272 (= 2√14781) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 210 |
| Scientific notation | 5.9124 × |
59124 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand one hundred and twenty-four |
| Binary (base 2) | 1110011011110100 |
| Octal (base 8) | 163364 |
| Hexadecimal (base 16) | E6F4 |
| Base 3 | 10000002210 |
| As time | 59124 seconds = 16 h 25 min 24 s |
Is 59124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59124 ÷ 2 = 29562) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59124 ÷ 3 = 19708) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59124 ÷ 4 = 14781) | 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 | Yes (59124 ÷ 6 = 9854) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (59124 ÷ 12 = 4927) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59124 a prime number?
No. 59124 = × 3 × 13 × 379, so it is divisible by 2.
What are the factors of 59124?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 379, 758, 1137, 1516, 2274, 4548, 4927, 9854, 14781, 19708, 29562, 59124.
What is 59124 in binary?
1110011011110100 (hexadecimal E6F4, octal 163364).
What is the square root of 59124?
About 243.1543, exactly 2√14781.
Is 59124 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 59124?
It is a composite number with 24 divisors.