The number 99429
99429 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 23 × 131. Divisors (16): 1, 3, 11, 23, 33, 69, 131, 253, 393, 759, 1441, 3013, 4323, 9039, 33143, 99429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 99429: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 33.
- 2
99429 is composite. Its prime factorisation is
- 3
The divisors add up to 152064; without 99429 itself that is 52635, so 99429 is deficient (52635 is less than 99429). Euler's totient φ(99429) = 57200 numbers up to 99429 share no factor with it.
- 4
The digits of 99429 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 99429 = 3 \times 11 \times 23 \times 131 \]
99429 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 152064 |
| Euler totient φ(n) | 57200 |
| Square | 9886126041 |
| Cube | 982967626130589 |
| Square root | 315.323643 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.9429 × |
99429 in other forms
| Form | Value |
|---|---|
| In words | ninety-nine thousand four hundred and twenty-nine |
| Binary (base 2) | 11000010001100101 |
| Octal (base 8) | 302145 |
| Hexadecimal (base 16) | 18465 |
| Base 3 | 12001101120 |
| As time | 99429 seconds = 27 h 37 min 9 s |
Is 99429 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 (99429 ÷ 3 = 33143) | 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 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (99429 ÷ 11 = 9039) | 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 99429 a prime number?
No. 99429 = 3 × 11 × 23 × 131, so it is divisible by 3.
What are the factors of 99429?
1, 3, 11, 23, 33, 69, 131, 253, 393, 759, 1441, 3013, 4323, 9039, 33143, 99429.
What is 99429 in binary?
11000010001100101 (hexadecimal 18465, octal 302145).
What is the square root of 99429?
About 315.3236.
Is 99429 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 99429?
99429 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 33.