The number 42997
42997 is a composite number with 8 divisors. Its prime factorisation is 19 × 31 × 73. Divisors (8): 1, 19, 31, 73, 589, 1387, 2263, 42997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42997: a Harshad number: divisible by its digit sum 31.
- 2
42997 is composite. Its prime factorisation is
- 3
The divisors add up to 47360; without 42997 itself that is 4363, so 42997 is deficient (4363 is less than 42997). Euler's totient φ(42997) = 38880 numbers up to 42997 share no factor with it.
- 4
The digits of 42997 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42997 = 19 \times 31 \times 73 \]
42997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47360 |
| Euler totient φ(n) | 38880 |
| Square | 1848742009 |
| Cube | 79490360160973 |
| Square root | 207.357180 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2997 × |
42997 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and ninety-seven |
| Binary (base 2) | 1010011111110101 |
| Octal (base 8) | 123765 |
| Hexadecimal (base 16) | A7F5 |
| Base 3 | 2011222111 |
| As time | 42997 seconds = 11 h 56 min 37 s |
Is 42997 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 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42997 a prime number?
No. 42997 = 19 × 31 × 73, so it is divisible by 19.
What are the factors of 42997?
1, 19, 31, 73, 589, 1387, 2263, 42997.
What is 42997 in binary?
1010011111110101 (hexadecimal A7F5, octal 123765).
What is the square root of 42997?
About 207.3572.
Is 42997 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 42997?
42997 is a Harshad number: divisible by its digit sum 31.