The number 88913
88913 is a composite number with 8 divisors. Its prime factorisation is 11 × 59 × 137. Divisors (8): 1, 11, 59, 137, 649, 1507, 8083, 88913.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88913: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88913 is composite. Its prime factorisation is
- 3
The divisors add up to 99360; without 88913 itself that is 10447, so 88913 is deficient (10447 is less than 88913). Euler's totient φ(88913) = 78880 numbers up to 88913 share no factor with it.
- 4
The digits of 88913 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88913 = 11 \times 59 \times 137 \]
88913 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 99360 |
| Euler totient φ(n) | 78880 |
| Square | 7905521569 |
| Cube | 702903639264497 |
| Square root | 298.182830 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.8913 × |
88913 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand nine hundred and thirteen |
| Binary (base 2) | 10101101101010001 |
| Octal (base 8) | 255521 |
| Hexadecimal (base 16) | 15B51 |
| Base 3 | 11111222002 |
| As time | 88913 seconds = 24 h 41 min 53 s |
Is 88913 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (88913 ÷ 11 = 8083) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88913 a prime number?
No. 88913 = 11 × 59 × 137, so it is divisible by 11.
What are the factors of 88913?
1, 11, 59, 137, 649, 1507, 8083, 88913.
What is 88913 in binary?
10101101101010001 (hexadecimal 15B51, octal 255521).
What is the square root of 88913?
About 298.1828.
Is 88913 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 88913?
88913 is a happy number: repeatedly adding the squares of its digits reaches 1.