The number 58344
58344 is a composite number with 64 divisors. Its prime factorisation is × 3 × 11 × 13 × 17. Divisors (64): 1, 2, 3, 4, 6, 8, 11, 12, 13, 17, 22, 24, 26, 33, 34, 39 … 58344.
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How to work it out
- 1
What is special about 58344: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.
- 2
58344 is composite. Its prime factorisation is
- 3
The divisors add up to 181440; without 58344 itself that is 123096, so 58344 is abundant (123096 is more than 58344). Euler's totient φ(58344) = 15360 numbers up to 58344 share no factor with it.
- 4
The digits of 58344 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58344 = 2^{3} \times 3 \times 11 \times 13 \times 17 \]58344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 181440 |
| Euler totient φ(n) | 15360 |
| Square | 3404022336 |
| Cube | 198604279171584 |
| Square root | 241.545027 (= 2√14586) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8344 × |
58344 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and forty-four |
| Binary (base 2) | 1110001111101000 |
| Octal (base 8) | 161750 |
| Hexadecimal (base 16) | E3E8 |
| Base 3 | 2222000220 |
| As time | 58344 seconds = 16 h 12 min 24 s |
Is 58344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58344 ÷ 2 = 29172) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58344 ÷ 3 = 19448) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58344 ÷ 4 = 14586) | 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 (58344 ÷ 6 = 9724) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (58344 ÷ 8 = 7293) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (58344 ÷ 11 = 5304) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58344 ÷ 12 = 4862) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58344 a prime number?
No. 58344 = × 3 × 11 × 13 × 17, so it is divisible by 2.
What are the factors of 58344?
1, 2, 3, 4, 6, 8, 11, 12, 13, 17, 22, 24, 26, 33, 34, 39, 44, 51, 52, 66, 68, 78, 88, 102, 104, 132, 136, 143, 156, 187, 204, 221, 264, 286, 312, 374, 408, 429, 442, 561, 572, 663, 748, 858, 884, 1122, 1144, 1326, 1496, 1716, 1768, 2244, 2431, 2652, 3432, 4488, 4862, 5304, 7293, 9724, 14586, 19448, 29172, 58344.
What is 58344 in binary?
1110001111101000 (hexadecimal E3E8, octal 161750).
What is the square root of 58344?
About 241.5450, exactly 2√14586.
Is 58344 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 58344?
58344 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.