The number 1358
1358 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 97. Divisors (8): 1, 2, 7, 14, 97, 194, 679, 1358.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1358 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1358 is composite. Its prime factorisation is
- 3
The divisors add up to 2352; without 1358 itself that is 994, so 1358 is deficient (994 is less than 1358). Euler's totient φ(1358) = 576 numbers up to 1358 share no factor with it.
- 4
The digits of 1358 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1358 = 2 \times 7 \times 97 \]
1358 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2352 |
| Euler totient φ(n) | 576 |
| Square | 1844164 |
| Cube | 2504374712 |
| Square root | 36.851052 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 1.358 × |
1358 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and fifty-eight |
| Roman numerals | MCCCLVIII |
| Binary (base 2) | 10101001110 |
| Octal (base 8) | 2516 |
| Hexadecimal (base 16) | 54E |
| Base 3 | 1212022 |
| As time | 1358 seconds = 22 min 38 s |
Is 1358 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1358 ÷ 2 = 679) | 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 | No (remainder 3) | 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 | Yes (1358 ÷ 7 = 194) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | 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 1358 a prime number?
No. 1358 = 2 × 7 × 97, so it is divisible by 2.
What are the factors of 1358?
1, 2, 7, 14, 97, 194, 679, 1358.
What is 1358 in binary?
10101001110 (hexadecimal 54E, octal 2516).
What is the square root of 1358?
About 36.8511.
What is 1358 in Roman numerals?
MCCCLVIII.
Is 1358 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1358?
It is a composite number with 8 divisors.