The number 83749
83749 is a composite number with 4 divisors. Its prime factorisation is 89 × 941. Divisors (4): 1, 89, 941, 83749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83749: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 89 × 941, the product of two primes.
- 2
83749 is composite. Its prime factorisation is
- 3
The divisors add up to 84780; without 83749 itself that is 1031, so 83749 is deficient (1031 is less than 83749). Euler's totient φ(83749) = 82720 numbers up to 83749 share no factor with it.
- 4
The digits of 83749 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83749 = 89 \times 941 \]
83749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 84780 |
| Euler totient φ(n) | 82720 |
| Square | 7013895001 |
| Cube | 587406692438749 |
| Square root | 289.394195 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3749 × |
83749 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and forty-nine |
| Binary (base 2) | 10100011100100101 |
| Octal (base 8) | 243445 |
| Hexadecimal (base 16) | 14725 |
| Base 3 | 11020212211 |
| As time | 83749 seconds = 23 h 15 min 49 s |
Is 83749 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 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83749 a prime number?
No. 83749 = 89 × 941, so it is divisible by 89.
What are the factors of 83749?
1, 89, 941, 83749.
What is 83749 in binary?
10100011100100101 (hexadecimal 14725, octal 243445).
What is the square root of 83749?
About 289.3942.
Is 83749 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 83749?
83749 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 89 × 941, the product of two primes.