The number 83359
83359 is a composite number with 4 divisors. Its prime factorisation is 31 × 2689. Divisors (4): 1, 31, 2689, 83359.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83359: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 2689, the product of two primes.
- 2
83359 is composite. Its prime factorisation is
- 3
The divisors add up to 86080; without 83359 itself that is 2721, so 83359 is deficient (2721 is less than 83359). Euler's totient φ(83359) = 80640 numbers up to 83359 share no factor with it.
- 4
The digits of 83359 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83359 = 31 \times 2689 \]
83359 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 86080 |
| Euler totient φ(n) | 80640 |
| Square | 6948722881 |
| Cube | 579238590637279 |
| Square root | 288.719587 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.3359 × |
83359 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and fifty-nine |
| Binary (base 2) | 10100010110011111 |
| Octal (base 8) | 242637 |
| Hexadecimal (base 16) | 1459F |
| Base 3 | 11020100101 |
| As time | 83359 seconds = 23 h 9 min 19 s |
Is 83359 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83359 a prime number?
No. 83359 = 31 × 2689, so it is divisible by 31.
What are the factors of 83359?
1, 31, 2689, 83359.
What is 83359 in binary?
10100010110011111 (hexadecimal 1459F, octal 242637).
What is the square root of 83359?
About 288.7196.
Is 83359 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 83359?
83359 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 2689, the product of two primes.