The number 13377
13377 is a composite number with 16 divisors. Its prime factorisation is 3 × × 13. Divisors (16): 1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 343, 637, 1029, 1911, 4459, 13377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13377: a Harshad number: divisible by its digit sum 21.
- 2
13377 is composite. Its prime factorisation is
- 3
The divisors add up to 22400; without 13377 itself that is 9023, so 13377 is deficient (9023 is less than 13377). Euler's totient φ(13377) = 7056 numbers up to 13377 share no factor with it.
- 4
The digits of 13377 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13377 = 3 \times 7^{3} \times 13 \]13377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 22400 |
| Euler totient φ(n) | 7056 |
| Square | 178944129 |
| Cube | 2393735613633 |
| Square root | 115.658981 (= 7√273) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3377 × |
13377 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and seventy-seven |
| Binary (base 2) | 11010001000001 |
| Octal (base 8) | 32101 |
| Hexadecimal (base 16) | 3441 |
| Base 3 | 200100110 |
| As time | 13377 seconds = 3 h 42 min 57 s |
Is 13377 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 (13377 ÷ 3 = 4459) | 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 2) | 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 | Yes (13377 ÷ 7 = 1911) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 13377 a prime number?
No. 13377 = 3 × × 13, so it is divisible by 3.
What are the factors of 13377?
1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 343, 637, 1029, 1911, 4459, 13377.
What is 13377 in binary?
11010001000001 (hexadecimal 3441, octal 32101).
What is the square root of 13377?
About 115.6590, exactly 7√273.
Is 13377 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13377?
13377 is a Harshad number: divisible by its digit sum 21.