The number 46197
46197 is a composite number with 16 divisors. Its prime factorisation is × 29 × 59. Divisors (16): 1, 3, 9, 27, 29, 59, 87, 177, 261, 531, 783, 1593, 1711, 5133, 15399, 46197.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46197: a Harshad number: divisible by its digit sum 27.
- 2
46197 is composite. Its prime factorisation is
- 3
The divisors add up to 72000; without 46197 itself that is 25803, so 46197 is deficient (25803 is less than 46197). Euler's totient φ(46197) = 29232 numbers up to 46197 share no factor with it.
- 4
The digits of 46197 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46197 = 3^{3} \times 29 \times 59 \]46197 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72000 |
| Euler totient φ(n) | 29232 |
| Square | 2134162809 |
| Cube | 98591919287373 |
| Square root | 214.934874 (= 3√5133) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.6197 × |
46197 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand one hundred and ninety-seven |
| Binary (base 2) | 1011010001110101 |
| Octal (base 8) | 132165 |
| Hexadecimal (base 16) | B475 |
| Base 3 | 2100101000 |
| As time | 46197 seconds = 12 h 49 min 57 s |
Is 46197 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 (46197 ÷ 3 = 15399) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (46197 ÷ 9 = 5133) | 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 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 46197 a prime number?
No. 46197 = × 29 × 59, so it is divisible by 3.
What are the factors of 46197?
1, 3, 9, 27, 29, 59, 87, 177, 261, 531, 783, 1593, 1711, 5133, 15399, 46197.
What is 46197 in binary?
1011010001110101 (hexadecimal B475, octal 132165).
What is the square root of 46197?
About 214.9349, exactly 3√5133.
Is 46197 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46197?
46197 is a Harshad number: divisible by its digit sum 27.