The number 1538
1538 is a composite number with 4 divisors. Its prime factorisation is 2 × 769. Divisors (4): 1, 2, 769, 1538.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1538: a semiprime: 2 × 769, the product of two primes.
- 2
1538 is composite. Its prime factorisation is
- 3
The divisors add up to 2310; without 1538 itself that is 772, so 1538 is deficient (772 is less than 1538). Euler's totient φ(1538) = 768 numbers up to 1538 share no factor with it.
- 4
The digits of 1538 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1538 = 2 \times 769 \]
1538 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2310 |
| Euler totient φ(n) | 768 |
| Square | 2365444 |
| Cube | 3638052872 |
| Square root | 39.217343 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.538 × |
1538 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred and thirty-eight |
| Roman numerals | MDXXXVIII |
| Binary (base 2) | 11000000010 |
| Octal (base 8) | 3002 |
| Hexadecimal (base 16) | 602 |
| Base 3 | 2002222 |
| As time | 1538 seconds = 25 min 38 s |
Is 1538 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1538 ÷ 2 = 769) | 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 | 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 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 9) | 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 1538 a prime number?
No. 1538 = 2 × 769, so it is divisible by 2.
What are the factors of 1538?
1, 2, 769, 1538.
What is 1538 in binary?
11000000010 (hexadecimal 602, octal 3002).
What is the square root of 1538?
About 39.2173.
What is 1538 in Roman numerals?
MDXXXVIII.
Is 1538 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1538?
1538 is a semiprime: 2 × 769, the product of two primes.