The number 13374
13374 is a composite number with 12 divisors. Its prime factorisation is 2 × × 743. Divisors (12): 1, 2, 3, 6, 9, 18, 743, 1486, 2229, 4458, 6687, 13374.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13374: a Harshad number: divisible by its digit sum 18.
- 2
13374 is composite. Its prime factorisation is
- 3
The divisors add up to 29016; without 13374 itself that is 15642, so 13374 is abundant (15642 is more than 13374). Euler's totient φ(13374) = 4452 numbers up to 13374 share no factor with it.
- 4
The digits of 13374 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13374 = 2 \times 3^{2} \times 743 \]13374 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 29016 |
| Euler totient φ(n) | 4452 |
| Square | 178863876 |
| Cube | 2392125477624 |
| Square root | 115.646012 (= 3√1486) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.3374 × |
13374 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and seventy-four |
| Binary (base 2) | 11010000111110 |
| Octal (base 8) | 32076 |
| Hexadecimal (base 16) | 343E |
| Base 3 | 200100100 |
| As time | 13374 seconds = 3 h 42 min 54 s |
Is 13374 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13374 ÷ 2 = 6687) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13374 ÷ 3 = 4458) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13374 ÷ 6 = 2229) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13374 ÷ 9 = 1486) | 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 | No (remainder 9) | 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 13374 a prime number?
No. 13374 = 2 × × 743, so it is divisible by 2.
What are the factors of 13374?
1, 2, 3, 6, 9, 18, 743, 1486, 2229, 4458, 6687, 13374.
What is 13374 in binary?
11010000111110 (hexadecimal 343E, octal 32076).
What is the square root of 13374?
About 115.6460, exactly 3√1486.
Is 13374 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13374?
13374 is a Harshad number: divisible by its digit sum 18.