The number 15408
15408 is a composite number with 30 divisors. Its prime factorisation is × × 107. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 107, 144 … 15408.
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How to work it out
- 1
What is special about 15408: a Harshad number: divisible by its digit sum 18.
- 2
15408 is composite. Its prime factorisation is
- 3
The divisors add up to 43524; without 15408 itself that is 28116, so 15408 is abundant (28116 is more than 15408). Euler's totient φ(15408) = 5088 numbers up to 15408 share no factor with it.
- 4
The digits of 15408 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15408 = 2^{4} \times 3^{2} \times 107 \]15408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 43524 |
| Euler totient φ(n) | 5088 |
| Square | 237406464 |
| Cube | 3657958797312 |
| Square root | 124.128965 (= 12√107) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.5408 × |
15408 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and eight |
| Binary (base 2) | 11110000110000 |
| Octal (base 8) | 36060 |
| Hexadecimal (base 16) | 3C30 |
| Base 3 | 210010200 |
| As time | 15408 seconds = 4 h 16 min 48 s |
Is 15408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15408 ÷ 2 = 7704) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15408 ÷ 3 = 5136) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15408 ÷ 4 = 3852) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15408 ÷ 6 = 2568) | 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 (15408 ÷ 8 = 1926) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (15408 ÷ 9 = 1712) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (15408 ÷ 12 = 1284) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15408 a prime number?
No. 15408 = × × 107, so it is divisible by 2.
What are the factors of 15408?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 107, 144, 214, 321, 428, 642, 856, 963, 1284, 1712, 1926, 2568, 3852, 5136, 7704, 15408.
What is 15408 in binary?
11110000110000 (hexadecimal 3C30, octal 36060).
What is the square root of 15408?
About 124.1290, exactly 12√107.
Is 15408 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15408?
15408 is a Harshad number: divisible by its digit sum 18.