The number 29961
29961 is a composite number with 6 divisors. Its prime factorisation is × 3329. Divisors (6): 1, 3, 9, 3329, 9987, 29961.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29961: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29961 is composite. Its prime factorisation is
- 3
The divisors add up to 43290; without 29961 itself that is 13329, so 29961 is deficient (13329 is less than 29961). Euler's totient φ(29961) = 19968 numbers up to 29961 share no factor with it.
- 4
The digits of 29961 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 209 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29961 = 3^{2} \times 3329 \]29961 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 43290 |
| Euler totient φ(n) | 19968 |
| Square | 897661521 |
| Cube | 26894836830681 |
| Square root | 173.092461 (= 3√3329) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 209 |
| Scientific notation | 2.9961 × |
29961 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and sixty-one |
| Binary (base 2) | 111010100001001 |
| Octal (base 8) | 72411 |
| Hexadecimal (base 16) | 7509 |
| Base 3 | 1112002200 |
| As time | 29961 seconds = 8 h 19 min 21 s |
Is 29961 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 (29961 ÷ 3 = 9987) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29961 ÷ 9 = 3329) | 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 8) | 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 29961 a prime number?
No. 29961 = × 3329, so it is divisible by 3.
What are the factors of 29961?
1, 3, 9, 3329, 9987, 29961.
What is 29961 in binary?
111010100001001 (hexadecimal 7509, octal 72411).
What is the square root of 29961?
About 173.0925, exactly 3√3329.
Is 29961 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 29961?
29961 is a happy number: repeatedly adding the squares of its digits reaches 1.