The number 15484
15484 is a composite number with 18 divisors. Its prime factorisation is × × 79. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 79, 98, 158, 196, 316, 553, 1106, 2212, 3871 … 15484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15484 is composite. Its prime factorisation is
- 3
The divisors add up to 31920; without 15484 itself that is 16436, so 15484 is abundant (16436 is more than 15484). Euler's totient φ(15484) = 6552 numbers up to 15484 share no factor with it.
- 4
The digits of 15484 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15484 = 2^{2} \times 7^{2} \times 79 \]15484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 31920 |
| Euler totient φ(n) | 6552 |
| Square | 239754256 |
| Cube | 3712354899904 |
| Square root | 124.434722 (= 14√79) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.5484 × |
15484 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and eighty-four |
| Binary (base 2) | 11110001111100 |
| Octal (base 8) | 36174 |
| Hexadecimal (base 16) | 3C7C |
| Base 3 | 210020111 |
| As time | 15484 seconds = 4 h 18 min 4 s |
Is 15484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15484 ÷ 2 = 7742) | 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 (15484 ÷ 4 = 3871) | 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 | Yes (15484 ÷ 7 = 2212) | 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 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 7) | 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 15484 a prime number?
No. 15484 = × × 79, so it is divisible by 2.
What are the factors of 15484?
1, 2, 4, 7, 14, 28, 49, 79, 98, 158, 196, 316, 553, 1106, 2212, 3871, 7742, 15484.
What is 15484 in binary?
11110001111100 (hexadecimal 3C7C, octal 36174).
What is the square root of 15484?
About 124.4347, exactly 14√79.
Is 15484 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 15484?
It is a composite number with 18 divisors.