The number 58816
58816 is a composite number with 14 divisors. Its prime factorisation is × 919. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 919, 1838, 3676, 7352, 14704, 29408, 58816.
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How to work it out
- 1
What is special about 58816: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58816 is composite. Its prime factorisation is
- 3
The divisors add up to 116840; without 58816 itself that is 58024, so 58816 is deficient (58024 is less than 58816). Euler's totient φ(58816) = 29376 numbers up to 58816 share no factor with it.
- 4
The digits of 58816 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58816 = 2^{6} \times 919 \]58816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 116840 |
| Euler totient φ(n) | 29376 |
| Square | 3459321856 |
| Cube | 203463474282496 |
| Square root | 242.520102 (= 8√919) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8816 × |
58816 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand eight hundred and sixteen |
| Binary (base 2) | 1110010111000000 |
| Octal (base 8) | 162700 |
| Hexadecimal (base 16) | E5C0 |
| Base 3 | 2222200101 |
| As time | 58816 seconds = 16 h 20 min 16 s |
Is 58816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58816 ÷ 2 = 29408) | 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 (58816 ÷ 4 = 14704) | 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 | 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 (58816 ÷ 8 = 7352) | 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 10) | 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 58816 a prime number?
No. 58816 = × 919, so it is divisible by 2.
What are the factors of 58816?
1, 2, 4, 8, 16, 32, 64, 919, 1838, 3676, 7352, 14704, 29408, 58816.
What is 58816 in binary?
1110010111000000 (hexadecimal E5C0, octal 162700).
What is the square root of 58816?
About 242.5201, exactly 8√919.
Is 58816 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 58816?
58816 is a happy number: repeatedly adding the squares of its digits reaches 1.