The number 29983
29983 is the 3244th prime number. Its only divisors are 1 and 29983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29983: the 3244th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29983 is prime, so its only factors are 1 and 29983. It is the 3244th prime; the next prime is 29989 and the one before is 29959.
- 3
The divisors add up to 29984; without 29983 itself that is 1, so 29983 is deficient (1 is less than 29983). Euler's totient φ(29983) = 29982 numbers up to 29983 share no factor with it.
- 4
The digits of 29983 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 72 steps to reach 1.
29983 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29984 |
| Euler totient φ(n) | 29982 |
| Square | 898980289 |
| Cube | 26954126005087 |
| Square root | 173.155999 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9983 × |
29983 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and eighty-three |
| Binary (base 2) | 111010100011111 |
| Octal (base 8) | 72437 |
| Hexadecimal (base 16) | 751F |
| Base 3 | 1112010111 |
| As time | 29983 seconds = 8 h 19 min 43 s |
Is 29983 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 3) | 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 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 | No (remainder 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 29983 a prime number?
Yes. 29983 is divisible only by 1 and itself.
What are the factors of 29983?
1, 29983.
What is 29983 in binary?
111010100011111 (hexadecimal 751F, octal 72437).
What is the square root of 29983?
About 173.1560.
Is 29983 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 29983?
29983 is the 3244th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.