The number 58984
58984 is a composite number with 16 divisors. Its prime factorisation is × 73 × 101. Divisors (16): 1, 2, 4, 8, 73, 101, 146, 202, 292, 404, 584, 808, 7373, 14746, 29492, 58984.
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How to work it out
- 1
58984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58984 is composite. Its prime factorisation is
- 3
The divisors add up to 113220; without 58984 itself that is 54236, so 58984 is deficient (54236 is less than 58984). Euler's totient φ(58984) = 28800 numbers up to 58984 share no factor with it.
- 4
The digits of 58984 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58984 = 2^{3} \times 73 \times 101 \]58984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 113220 |
| Euler totient φ(n) | 28800 |
| Square | 3479112256 |
| Cube | 205211957307904 |
| Square root | 242.866218 (= 2√14746) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8984 × |
58984 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and eighty-four |
| Binary (base 2) | 1110011001101000 |
| Octal (base 8) | 163150 |
| Hexadecimal (base 16) | E668 |
| Base 3 | 2222220121 |
| As time | 58984 seconds = 16 h 23 min 4 s |
Is 58984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58984 ÷ 2 = 29492) | 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 (58984 ÷ 4 = 14746) | 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 4) | 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 | Yes (58984 ÷ 8 = 7373) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | 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 58984 a prime number?
No. 58984 = × 73 × 101, so it is divisible by 2.
What are the factors of 58984?
1, 2, 4, 8, 73, 101, 146, 202, 292, 404, 584, 808, 7373, 14746, 29492, 58984.
What is 58984 in binary?
1110011001101000 (hexadecimal E668, octal 163150).
What is the square root of 58984?
About 242.8662, exactly 2√14746.
Is 58984 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 58984?
It is a composite number with 16 divisors.