The number 58996
58996 is a triangular number: 1 + 2 + … + 343 = 58996. Its prime factorisation is × × 43. Divisors (24): 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 343, 602, 686 … 58996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58996: a triangular number: 1 + 2 + … + 343 = 58996.
- 2
58996 is composite. Its prime factorisation is
- 3
The divisors add up to 123200; without 58996 itself that is 64204, so 58996 is abundant (64204 is more than 58996). Euler's totient φ(58996) = 24696 numbers up to 58996 share no factor with it.
- 4
The digits of 58996 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58996 = 2^{2} \times 7^{3} \times 43 \]58996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 123200 |
| Euler totient φ(n) | 24696 |
| Square | 3480528016 |
| Cube | 205337230831936 |
| Square root | 242.890922 (= 14√301) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8996 × |
58996 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and ninety-six |
| Binary (base 2) | 1110011001110100 |
| Octal (base 8) | 163164 |
| Hexadecimal (base 16) | E674 |
| Base 3 | 2222221001 |
| As time | 58996 seconds = 16 h 23 min 16 s |
Is 58996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58996 ÷ 2 = 29498) | 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 (58996 ÷ 4 = 14749) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (58996 ÷ 7 = 8428) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58996 a prime number?
No. 58996 = × × 43, so it is divisible by 2.
What are the factors of 58996?
1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 343, 602, 686, 1204, 1372, 2107, 4214, 8428, 14749, 29498, 58996.
What is 58996 in binary?
1110011001110100 (hexadecimal E674, octal 163164).
What is the square root of 58996?
About 242.8909, exactly 14√301.
Is 58996 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 58996?
58996 is a triangular number: 1 + 2 + … + 343 = 58996.