The number 13464
13464 is a composite number with 48 divisors. Its prime factorisation is × × 11 × 17. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 11, 12, 17, 18, 22, 24, 33, 34, 36 … 13464.
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How to work it out
- 1
What is special about 13464: a Harshad number: divisible by its digit sum 18.
- 2
13464 is composite. Its prime factorisation is
- 3
The divisors add up to 42120; without 13464 itself that is 28656, so 13464 is abundant (28656 is more than 13464). Euler's totient φ(13464) = 3840 numbers up to 13464 share no factor with it.
- 4
The digits of 13464 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13464 = 2^{3} \times 3^{2} \times 11 \times 17 \]13464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 42120 |
| Euler totient φ(n) | 3840 |
| Square | 181279296 |
| Cube | 2440744441344 |
| Square root | 116.034478 (= 6√374) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3464 × |
13464 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and sixty-four |
| Binary (base 2) | 11010010011000 |
| Octal (base 8) | 32230 |
| Hexadecimal (base 16) | 3498 |
| Base 3 | 200110200 |
| As time | 13464 seconds = 3 h 44 min 24 s |
Is 13464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13464 ÷ 2 = 6732) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13464 ÷ 3 = 4488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13464 ÷ 4 = 3366) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13464 ÷ 6 = 2244) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (13464 ÷ 8 = 1683) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13464 ÷ 9 = 1496) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13464 ÷ 11 = 1224) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13464 ÷ 12 = 1122) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13464 a prime number?
No. 13464 = × × 11 × 17, so it is divisible by 2.
What are the factors of 13464?
1, 2, 3, 4, 6, 8, 9, 11, 12, 17, 18, 22, 24, 33, 34, 36, 44, 51, 66, 68, 72, 88, 99, 102, 132, 136, 153, 187, 198, 204, 264, 306, 374, 396, 408, 561, 612, 748, 792, 1122, 1224, 1496, 1683, 2244, 3366, 4488, 6732, 13464.
What is 13464 in binary?
11010010011000 (hexadecimal 3498, octal 32230).
What is the square root of 13464?
About 116.0345, exactly 6√374.
Is 13464 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13464?
13464 is a Harshad number: divisible by its digit sum 18.