The number 1377
1377 is a composite number with 10 divisors. Its prime factorisation is × 17. Divisors (10): 1, 3, 9, 17, 27, 51, 81, 153, 459, 1377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1377 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1377 is composite. Its prime factorisation is
- 3
The divisors add up to 2178; without 1377 itself that is 801, so 1377 is deficient (801 is less than 1377). Euler's totient φ(1377) = 864 numbers up to 1377 share no factor with it.
- 4
The digits of 1377 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1377 = 3^{4} \times 17 \]1377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 2178 |
| Euler totient φ(n) | 864 |
| Square | 1896129 |
| Cube | 2610969633 |
| Square root | 37.107951 (= 9√17) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 1.377 × |
1377 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and seventy-seven |
| Roman numerals | MCCCLXXVII |
| Binary (base 2) | 10101100001 |
| Octal (base 8) | 2541 |
| Hexadecimal (base 16) | 561 |
| Base 3 | 1220000 |
| As time | 1377 seconds = 22 min 57 s |
Is 1377 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 (1377 ÷ 3 = 459) | 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 | No (remainder 5) | 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 (1377 ÷ 9 = 153) | 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 2) | 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 1377 a prime number?
No. 1377 = × 17, so it is divisible by 3.
What are the factors of 1377?
1, 3, 9, 17, 27, 51, 81, 153, 459, 1377.
What is 1377 in binary?
10101100001 (hexadecimal 561, octal 2541).
What is the square root of 1377?
About 37.1080, exactly 9√17.
What is 1377 in Roman numerals?
MCCCLXXVII.
Is 1377 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1377?
It is a composite number with 10 divisors.