The number 1378
1378 is a triangular number: 1 + 2 + … + 52 = 1378. Its prime factorisation is 2 × 13 × 53. Divisors (8): 1, 2, 13, 26, 53, 106, 689, 1378.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1378: a triangular number: 1 + 2 + … + 52 = 1378.
- 2
1378 is composite. Its prime factorisation is
- 3
The divisors add up to 2268; without 1378 itself that is 890, so 1378 is deficient (890 is less than 1378). Euler's totient φ(1378) = 624 numbers up to 1378 share no factor with it.
- 4
The digits of 1378 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1378 = 2 \times 13 \times 53 \]
1378 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2268 |
| Euler totient φ(n) | 624 |
| Square | 1898884 |
| Cube | 2616662152 |
| Square root | 37.121422 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 127 |
| Scientific notation | 1.378 × |
1378 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and seventy-eight |
| Roman numerals | MCCCLXXVIII |
| Binary (base 2) | 10101100010 |
| Octal (base 8) | 2542 |
| Hexadecimal (base 16) | 562 |
| Base 3 | 1220001 |
| As time | 1378 seconds = 22 min 58 s |
Is 1378 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1378 ÷ 2 = 689) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 8) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1378 a prime number?
No. 1378 = 2 × 13 × 53, so it is divisible by 2.
What are the factors of 1378?
1, 2, 13, 26, 53, 106, 689, 1378.
What is 1378 in binary?
10101100010 (hexadecimal 562, octal 2542).
What is the square root of 1378?
About 37.1214.
What is 1378 in Roman numerals?
MCCCLXXVIII.
Is 1378 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 1378?
1378 is a triangular number: 1 + 2 + … + 52 = 1378.