The number 15464
15464 is a composite number with 8 divisors. Its prime factorisation is × 1933. Divisors (8): 1, 2, 4, 8, 1933, 3866, 7732, 15464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15464: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
15464 is composite. Its prime factorisation is
- 3
The divisors add up to 29010; without 15464 itself that is 13546, so 15464 is deficient (13546 is less than 15464). Euler's totient φ(15464) = 7728 numbers up to 15464 share no factor with it.
- 4
The digits of 15464 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15464 = 2^{3} \times 1933 \]15464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 29010 |
| Euler totient φ(n) | 7728 |
| Square | 239135296 |
| Cube | 3697988217344 |
| Square root | 124.354332 (= 2√3866) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.5464 × |
15464 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and sixty-four |
| Binary (base 2) | 11110001101000 |
| Octal (base 8) | 36150 |
| Hexadecimal (base 16) | 3C68 |
| Base 3 | 210012202 |
| As time | 15464 seconds = 4 h 17 min 44 s |
Is 15464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15464 ÷ 2 = 7732) | 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 (15464 ÷ 4 = 3866) | 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 | 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 | Yes (15464 ÷ 8 = 1933) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | 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 15464 a prime number?
No. 15464 = × 1933, so it is divisible by 2.
What are the factors of 15464?
1, 2, 4, 8, 1933, 3866, 7732, 15464.
What is 15464 in binary?
11110001101000 (hexadecimal 3C68, octal 36150).
What is the square root of 15464?
About 124.3543, exactly 2√3866.
Is 15464 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 15464?
15464 is a happy number: repeatedly adding the squares of its digits reaches 1.