The number 29901
29901 is a composite number with 4 divisors. Its prime factorisation is 3 × 9967. Divisors (4): 1, 3, 9967, 29901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29901: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 9967, the product of two primes.
- 2
29901 is composite. Its prime factorisation is
- 3
The divisors add up to 39872; without 29901 itself that is 9971, so 29901 is deficient (9971 is less than 29901). Euler's totient φ(29901) = 19932 numbers up to 29901 share no factor with it.
- 4
The digits of 29901 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29901 = 3 \times 9967 \]
29901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 39872 |
| Euler totient φ(n) | 19932 |
| Square | 894069801 |
| Cube | 26733581119701 |
| Square root | 172.919056 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 103 |
| Scientific notation | 2.9901 × |
29901 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and one |
| Binary (base 2) | 111010011001101 |
| Octal (base 8) | 72315 |
| Hexadecimal (base 16) | 74CD |
| Base 3 | 1112000110 |
| As time | 29901 seconds = 8 h 18 min 21 s |
Is 29901 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 | Yes (29901 ÷ 3 = 9967) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29901 a prime number?
No. 29901 = 3 × 9967, so it is divisible by 3.
What are the factors of 29901?
1, 3, 9967, 29901.
What is 29901 in binary?
111010011001101 (hexadecimal 74CD, octal 72315).
What is the square root of 29901?
About 172.9191.
Is 29901 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 29901?
29901 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 9967, the product of two primes.