The number 5412
5412 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 41. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164 … 5412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5412: a Harshad number: divisible by its digit sum 12.
- 2
5412 is composite. Its prime factorisation is
- 3
The divisors add up to 14112; without 5412 itself that is 8700, so 5412 is abundant (8700 is more than 5412). Euler's totient φ(5412) = 1600 numbers up to 5412 share no factor with it.
- 4
The digits of 5412 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5412 = 2^{2} \times 3 \times 11 \times 41 \]5412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 14112 |
| Euler totient φ(n) | 1600 |
| Square | 29289744 |
| Cube | 158516094528 |
| Square root | 73.566297 (= 2√1353) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.412 × |
5412 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and twelve |
| Binary (base 2) | 1010100100100 |
| Octal (base 8) | 12444 |
| Hexadecimal (base 16) | 1524 |
| Base 3 | 21102110 |
| As time | 5412 seconds = 1 h 30 min 12 s |
Is 5412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5412 ÷ 2 = 2706) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5412 ÷ 3 = 1804) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5412 ÷ 4 = 1353) | 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 | Yes (5412 ÷ 6 = 902) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5412 ÷ 11 = 492) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5412 ÷ 12 = 451) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5412 a prime number?
No. 5412 = × 3 × 11 × 41, so it is divisible by 2.
What are the factors of 5412?
1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412.
What is 5412 in binary?
1010100100100 (hexadecimal 1524, octal 12444).
What is the square root of 5412?
About 73.5663, exactly 2√1353.
Is 5412 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5412?
5412 is a Harshad number: divisible by its digit sum 12.