The number 1484
1484 is a composite number with 12 divisors. Its prime factorisation is × 7 × 53. Divisors (12): 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1484: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1484 is composite. Its prime factorisation is
- 3
The divisors add up to 3024; without 1484 itself that is 1540, so 1484 is abundant (1540 is more than 1484). Euler's totient φ(1484) = 624 numbers up to 1484 share no factor with it.
- 4
The digits of 1484 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1484 = 2^{2} \times 7 \times 53 \]1484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3024 |
| Euler totient φ(n) | 624 |
| Square | 2202256 |
| Cube | 3268147904 |
| Square root | 38.522721 (= 2√371) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.484 × |
1484 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and eighty-four |
| Roman numerals | MCDLXXXIV |
| Binary (base 2) | 10111001100 |
| Octal (base 8) | 2714 |
| Hexadecimal (base 16) | 5CC |
| Base 3 | 2000222 |
| As time | 1484 seconds = 24 min 44 s |
Is 1484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1484 ÷ 2 = 742) | 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 | Yes (1484 ÷ 4 = 371) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1484 ÷ 7 = 212) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1484 a prime number?
No. 1484 = × 7 × 53, so it is divisible by 2.
What are the factors of 1484?
1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484.
What is 1484 in binary?
10111001100 (hexadecimal 5CC, octal 2714).
What is the square root of 1484?
About 38.5227, exactly 2√371.
What is 1484 in Roman numerals?
MCDLXXXIV.
Is 1484 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1484?
1484 is a happy number: repeatedly adding the squares of its digits reaches 1.