The number 1370
1370 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 137. Divisors (8): 1, 2, 5, 10, 137, 274, 685, 1370.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1370 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1370 is composite. Its prime factorisation is
- 3
The divisors add up to 2484; without 1370 itself that is 1114, so 1370 is deficient (1114 is less than 1370). Euler's totient φ(1370) = 544 numbers up to 1370 share no factor with it.
- 4
The digits of 1370 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1370 = 2 \times 5 \times 137 \]
1370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2484 |
| Euler totient φ(n) | 544 |
| Square | 1876900 |
| Cube | 2571353000 |
| Square root | 37.013511 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 127 |
| Scientific notation | 1.37 × |
1370 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and seventy |
| Roman numerals | MCCCLXX |
| Binary (base 2) | 10101011010 |
| Octal (base 8) | 2532 |
| Hexadecimal (base 16) | 55A |
| Base 3 | 1212202 |
| As time | 1370 seconds = 22 min 50 s |
Is 1370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1370 ÷ 2 = 685) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | Yes (1370 ÷ 5 = 274) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1370 ÷ 10 = 137) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1370 a prime number?
No. 1370 = 2 × 5 × 137, so it is divisible by 2.
What are the factors of 1370?
1, 2, 5, 10, 137, 274, 685, 1370.
What is 1370 in binary?
10101011010 (hexadecimal 55A, octal 2532).
What is the square root of 1370?
About 37.0135.
What is 1370 in Roman numerals?
MCCCLXX.
Is 1370 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1370?
It is a composite number with 8 divisors.