The number 29913
29913 is a composite number with 12 divisors. Its prime factorisation is 3 × × 59. Divisors (12): 1, 3, 13, 39, 59, 169, 177, 507, 767, 2301, 9971, 29913.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29913: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29913 is composite. Its prime factorisation is
- 3
The divisors add up to 43920; without 29913 itself that is 14007, so 29913 is deficient (14007 is less than 29913). Euler's totient φ(29913) = 18096 numbers up to 29913 share no factor with it.
- 4
The digits of 29913 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29913 = 3 \times 13^{2} \times 59 \]29913 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 43920 |
| Euler totient φ(n) | 18096 |
| Square | 894787569 |
| Cube | 26765780551497 |
| Square root | 172.953751 (= 13√177) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 103 |
| Scientific notation | 2.9913 × |
29913 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and thirteen |
| Binary (base 2) | 111010011011001 |
| Octal (base 8) | 72331 |
| Hexadecimal (base 16) | 74D9 |
| Base 3 | 1112000220 |
| As time | 29913 seconds = 8 h 18 min 33 s |
Is 29913 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 (29913 ÷ 3 = 9971) | 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 3) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | 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 29913 a prime number?
No. 29913 = 3 × × 59, so it is divisible by 3.
What are the factors of 29913?
1, 3, 13, 39, 59, 169, 177, 507, 767, 2301, 9971, 29913.
What is 29913 in binary?
111010011011001 (hexadecimal 74D9, octal 72331).
What is the square root of 29913?
About 172.9538, exactly 13√177.
Is 29913 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 29913?
29913 is a happy number: repeatedly adding the squares of its digits reaches 1.