The number 1534
1534 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 59. Divisors (8): 1, 2, 13, 26, 59, 118, 767, 1534.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1534: a Harshad number: divisible by its digit sum 13.
- 2
1534 is composite. Its prime factorisation is
- 3
The divisors add up to 2520; without 1534 itself that is 986, so 1534 is deficient (986 is less than 1534). Euler's totient φ(1534) = 696 numbers up to 1534 share no factor with it.
- 4
The digits of 1534 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1534 = 2 \times 13 \times 59 \]
1534 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2520 |
| Euler totient φ(n) | 696 |
| Square | 2353156 |
| Cube | 3609741304 |
| Square root | 39.166312 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 1.534 × |
1534 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred and thirty-four |
| Roman numerals | MDXXXIV |
| Binary (base 2) | 10111111110 |
| Octal (base 8) | 2776 |
| Hexadecimal (base 16) | 5FE |
| Base 3 | 2002211 |
| As time | 1534 seconds = 25 min 34 s |
Is 1534 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1534 ÷ 2 = 767) | 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 4) | 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 1) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1534 a prime number?
No. 1534 = 2 × 13 × 59, so it is divisible by 2.
What are the factors of 1534?
1, 2, 13, 26, 59, 118, 767, 1534.
What is 1534 in binary?
10111111110 (hexadecimal 5FE, octal 2776).
What is the square root of 1534?
About 39.1663.
What is 1534 in Roman numerals?
MDXXXIV.
Is 1534 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1534?
1534 is a Harshad number: divisible by its digit sum 13.