The number 1258
1258 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 37. Divisors (8): 1, 2, 17, 34, 37, 74, 629, 1258.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1258: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1258 is composite. Its prime factorisation is
- 3
The divisors add up to 2052; without 1258 itself that is 794, so 1258 is deficient (794 is less than 1258). Euler's totient φ(1258) = 576 numbers up to 1258 share no factor with it.
- 4
The digits of 1258 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1258 = 2 \times 17 \times 37 \]
1258 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2052 |
| Euler totient φ(n) | 576 |
| Square | 1582564 |
| Cube | 1990865512 |
| Square root | 35.468296 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 39 |
| Scientific notation | 1.258 × |
1258 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and fifty-eight |
| Roman numerals | MCCLVIII |
| Binary (base 2) | 10011101010 |
| Octal (base 8) | 2352 |
| Hexadecimal (base 16) | 4EA |
| Base 3 | 1201121 |
| As time | 1258 seconds = 20 min 58 s |
Is 1258 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1258 ÷ 2 = 629) | 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 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 7) | 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 4) | 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 1258 a prime number?
No. 1258 = 2 × 17 × 37, so it is divisible by 2.
What are the factors of 1258?
1, 2, 17, 34, 37, 74, 629, 1258.
What is 1258 in binary?
10011101010 (hexadecimal 4EA, octal 2352).
What is the square root of 1258?
About 35.4683.
What is 1258 in Roman numerals?
MCCLVIII.
Is 1258 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1258?
1258 is a happy number: repeatedly adding the squares of its digits reaches 1.