The number 13401
13401 is a composite number with 6 divisors. Its prime factorisation is × 1489. Divisors (6): 1, 3, 9, 1489, 4467, 13401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13401: a Harshad number: divisible by its digit sum 9.
- 2
13401 is composite. Its prime factorisation is
- 3
The divisors add up to 19370; without 13401 itself that is 5969, so 13401 is deficient (5969 is less than 13401). Euler's totient φ(13401) = 8928 numbers up to 13401 share no factor with it.
- 4
The digits of 13401 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13401 = 3^{2} \times 1489 \]13401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 19370 |
| Euler totient φ(n) | 8928 |
| Square | 179586801 |
| Cube | 2406642720201 |
| Square root | 115.762688 (= 3√1489) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3401 × |
13401 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and one |
| Binary (base 2) | 11010001011001 |
| Octal (base 8) | 32131 |
| Hexadecimal (base 16) | 3459 |
| Base 3 | 200101100 |
| As time | 13401 seconds = 3 h 43 min 21 s |
Is 13401 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13401 ÷ 3 = 4467) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13401 ÷ 9 = 1489) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13401 a prime number?
No. 13401 = × 1489, so it is divisible by 3.
What are the factors of 13401?
1, 3, 9, 1489, 4467, 13401.
What is 13401 in binary?
11010001011001 (hexadecimal 3459, octal 32131).
What is the square root of 13401?
About 115.7627, exactly 3√1489.
Is 13401 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 13401?
13401 is a Harshad number: divisible by its digit sum 9.