The number 59924
59924 is a composite number with 12 divisors. Its prime factorisation is × 71 × 211. Divisors (12): 1, 2, 4, 71, 142, 211, 284, 422, 844, 14981, 29962, 59924.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59924 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59924 is composite. Its prime factorisation is
- 3
The divisors add up to 106848; without 59924 itself that is 46924, so 59924 is deficient (46924 is less than 59924). Euler's totient φ(59924) = 29400 numbers up to 59924 share no factor with it.
- 4
The digits of 59924 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59924 = 2^{2} \times 71 \times 211 \]59924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 106848 |
| Euler totient φ(n) | 29400 |
| Square | 3590885776 |
| Cube | 215180239241024 |
| Square root | 244.793791 (= 2√14981) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.9924 × |
59924 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and twenty-four |
| Binary (base 2) | 1110101000010100 |
| Octal (base 8) | 165024 |
| Hexadecimal (base 16) | EA14 |
| Base 3 | 10001012102 |
| As time | 59924 seconds = 16 h 38 min 44 s |
Is 59924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59924 ÷ 2 = 29962) | 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 (59924 ÷ 4 = 14981) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 59924 a prime number?
No. 59924 = × 71 × 211, so it is divisible by 2.
What are the factors of 59924?
1, 2, 4, 71, 142, 211, 284, 422, 844, 14981, 29962, 59924.
What is 59924 in binary?
1110101000010100 (hexadecimal EA14, octal 165024).
What is the square root of 59924?
About 244.7938, exactly 2√14981.
Is 59924 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 59924?
It is a composite number with 12 divisors.