The number 1504
1504 is a composite number with 12 divisors. Its prime factorisation is × 47. Divisors (12): 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1504 is composite. Its prime factorisation is
- 3
The divisors add up to 3024; without 1504 itself that is 1520, so 1504 is abundant (1520 is more than 1504). Euler's totient φ(1504) = 736 numbers up to 1504 share no factor with it.
- 4
The digits of 1504 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1504 = 2^{5} \times 47 \]1504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3024 |
| Euler totient φ(n) | 736 |
| Square | 2262016 |
| Cube | 3402072064 |
| Square root | 38.781439 (= 4√94) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 109 |
| Scientific notation | 1.504 × |
1504 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred and four |
| Roman numerals | MDIV |
| Binary (base 2) | 10111100000 |
| Octal (base 8) | 2740 |
| Hexadecimal (base 16) | 5E0 |
| Base 3 | 2001201 |
| As time | 1504 seconds = 25 min 4 s |
Is 1504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1504 ÷ 2 = 752) | 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 | Yes (1504 ÷ 4 = 376) | 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 6) | 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 | Yes (1504 ÷ 8 = 188) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1504 a prime number?
No. 1504 = × 47, so it is divisible by 2.
What are the factors of 1504?
1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504.
What is 1504 in binary?
10111100000 (hexadecimal 5E0, octal 2740).
What is the square root of 1504?
About 38.7814, exactly 4√94.
What is 1504 in Roman numerals?
MDIV.
Is 1504 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1504?
It is a composite number with 12 divisors.