The number 5346
5346 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198 … 5346.
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How to work it out
- 1
What is special about 5346: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
5346 is composite. Its prime factorisation is
- 3
The divisors add up to 13104; without 5346 itself that is 7758, so 5346 is abundant (7758 is more than 5346). Euler's totient φ(5346) = 1620 numbers up to 5346 share no factor with it.
- 4
The digits of 5346 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5346 = 2 \times 3^{5} \times 11 \]5346 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 13104 |
| Euler totient φ(n) | 1620 |
| Square | 28579716 |
| Cube | 152787161736 |
| Square root | 73.116346 (= 9√66) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.346 × |
5346 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and forty-six |
| Binary (base 2) | 1010011100010 |
| Octal (base 8) | 12342 |
| Hexadecimal (base 16) | 14E2 |
| Base 3 | 21100000 |
| As time | 5346 seconds = 1 h 29 min 6 s |
Is 5346 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5346 ÷ 2 = 2673) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5346 ÷ 3 = 1782) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5346 ÷ 6 = 891) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5346 ÷ 9 = 594) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5346 ÷ 11 = 486) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5346 a prime number?
No. 5346 = 2 × × 11, so it is divisible by 2.
What are the factors of 5346?
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346.
What is 5346 in binary?
1010011100010 (hexadecimal 14E2, octal 12342).
What is the square root of 5346?
About 73.1163, exactly 9√66.
Is 5346 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5346?
5346 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.