The number 46548
46548 is a composite number with 24 divisors. Its prime factorisation is × × 431. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 431, 862, 1293, 1724 … 46548.
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How to work it out
- 1
What is special about 46548: a Harshad number: divisible by its digit sum 27.
- 2
46548 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 46548 itself that is 74412, so 46548 is abundant (74412 is more than 46548). Euler's totient φ(46548) = 15480 numbers up to 46548 share no factor with it.
- 4
The digits of 46548 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46548 = 2^{2} \times 3^{3} \times 431 \]46548 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 15480 |
| Square | 2166716304 |
| Cube | 100856310518592 |
| Square root | 215.749855 (= 6√1293) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6548 × |
46548 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand five hundred and forty-eight |
| Binary (base 2) | 1011010111010100 |
| Octal (base 8) | 132724 |
| Hexadecimal (base 16) | B5D4 |
| Base 3 | 2100212000 |
| As time | 46548 seconds = 12 h 55 min 48 s |
Is 46548 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46548 ÷ 2 = 23274) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46548 ÷ 3 = 15516) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46548 ÷ 4 = 11637) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46548 ÷ 6 = 7758) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46548 ÷ 9 = 5172) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46548 ÷ 12 = 3879) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46548 a prime number?
No. 46548 = × × 431, so it is divisible by 2.
What are the factors of 46548?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 431, 862, 1293, 1724, 2586, 3879, 5172, 7758, 11637, 15516, 23274, 46548.
What is 46548 in binary?
1011010111010100 (hexadecimal B5D4, octal 132724).
What is the square root of 46548?
About 215.7499, exactly 6√1293.
Is 46548 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46548?
46548 is a Harshad number: divisible by its digit sum 27.