The number 1369
1369 is a perfect square (37²). Its prime factorisation is . Divisors (3): 1, 37, 1369.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1369: a perfect square (37²); the square of a prime (37²).
- 2
1369 is composite. Its prime factorisation is
- 3
The divisors add up to 1407; without 1369 itself that is 38, so 1369 is deficient (38 is less than 1369). Euler's totient φ(1369) = 1332 numbers up to 1369 share no factor with it.
- 4
The digits of 1369 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1369 = 37^{2} \]1369 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 1407 |
| Euler totient φ(n) | 1332 |
| Square | 1874161 |
| Cube | 2565726409 |
| Square root | 37 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 1.369 × |
| Perfect power |
1369 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and sixty-nine |
| Roman numerals | MCCCLXIX |
| Binary (base 2) | 10101011001 |
| Octal (base 8) | 2531 |
| Hexadecimal (base 16) | 559 |
| Base 3 | 1212201 |
| As time | 1369 seconds = 22 min 49 s |
Is 1369 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 | No (remainder 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1369 a prime number?
No. 1369 = , so it is divisible by 37.
What are the factors of 1369?
1, 37, 1369.
What is 1369 in binary?
10101011001 (hexadecimal 559, octal 2531).
What is the square root of 1369?
37, because 37 × 37 = 1369.
What is 1369 in Roman numerals?
MCCCLXIX.
Is 1369 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 1369?
1369 is a perfect square (37²); the square of a prime (37²).