The number 46467
46467 is a composite number with 8 divisors. Its prime factorisation is × 1721. Divisors (8): 1, 3, 9, 27, 1721, 5163, 15489, 46467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46467: a Harshad number: divisible by its digit sum 27.
- 2
46467 is composite. Its prime factorisation is
- 3
The divisors add up to 68880; without 46467 itself that is 22413, so 46467 is deficient (22413 is less than 46467). Euler's totient φ(46467) = 30960 numbers up to 46467 share no factor with it.
- 4
The digits of 46467 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46467 = 3^{3} \times 1721 \]46467 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 68880 |
| Euler totient φ(n) | 30960 |
| Square | 2159182089 |
| Cube | 100330714129563 |
| Square root | 215.562056 (= 3√5163) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6467 × |
46467 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and sixty-seven |
| Binary (base 2) | 1011010110000011 |
| Octal (base 8) | 132603 |
| Hexadecimal (base 16) | B583 |
| Base 3 | 2100202000 |
| As time | 46467 seconds = 12 h 54 min 27 s |
Is 46467 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 (46467 ÷ 3 = 15489) | 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46467 ÷ 9 = 5163) | 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 3) | 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 46467 a prime number?
No. 46467 = × 1721, so it is divisible by 3.
What are the factors of 46467?
1, 3, 9, 27, 1721, 5163, 15489, 46467.
What is 46467 in binary?
1011010110000011 (hexadecimal B583, octal 132603).
What is the square root of 46467?
About 215.5621, exactly 3√5163.
Is 46467 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46467?
46467 is a Harshad number: divisible by its digit sum 27.