The number 42999
42999 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1303. Divisors (8): 1, 3, 11, 33, 1303, 3909, 14333, 42999.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42999: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 33.
- 2
42999 is composite. Its prime factorisation is
- 3
The divisors add up to 62592; without 42999 itself that is 19593, so 42999 is deficient (19593 is less than 42999). Euler's totient φ(42999) = 26040 numbers up to 42999 share no factor with it.
- 4
The digits of 42999 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42999 = 3 \times 11 \times 1303 \]
42999 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62592 |
| Euler totient φ(n) | 26040 |
| Square | 1848914001 |
| Cube | 79501453128999 |
| Square root | 207.362002 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2999 × |
42999 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and ninety-nine |
| Binary (base 2) | 1010011111110111 |
| Octal (base 8) | 123767 |
| Hexadecimal (base 16) | A7F7 |
| Base 3 | 2011222120 |
| As time | 42999 seconds = 11 h 56 min 39 s |
Is 42999 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 (42999 ÷ 3 = 14333) | 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 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 5) | 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 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 (42999 ÷ 11 = 3909) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42999 a prime number?
No. 42999 = 3 × 11 × 1303, so it is divisible by 3.
What are the factors of 42999?
1, 3, 11, 33, 1303, 3909, 14333, 42999.
What is 42999 in binary?
1010011111110111 (hexadecimal A7F7, octal 123767).
What is the square root of 42999?
About 207.3620.
Is 42999 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 42999?
42999 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 33.