The number 87408
87408 is a composite number with 30 divisors. Its prime factorisation is × × 607. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 607 … 87408.
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How to work it out
- 1
What is special about 87408: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87408 is composite. Its prime factorisation is
- 3
The divisors add up to 245024; without 87408 itself that is 157616, so 87408 is abundant (157616 is more than 87408). Euler's totient φ(87408) = 29088 numbers up to 87408 share no factor with it.
- 4
The digits of 87408 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87408 = 2^{4} \times 3^{2} \times 607 \]87408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 245024 |
| Euler totient φ(n) | 29088 |
| Square | 7640158464 |
| Cube | 667810971021312 |
| Square root | 295.648440 (= 12√607) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7408 × |
87408 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and eight |
| Binary (base 2) | 10101010101110000 |
| Octal (base 8) | 252560 |
| Hexadecimal (base 16) | 15570 |
| Base 3 | 11102220100 |
| As time | 87408 seconds = 24 h 16 min 48 s |
Is 87408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87408 ÷ 2 = 43704) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87408 ÷ 3 = 29136) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87408 ÷ 4 = 21852) | 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 (87408 ÷ 6 = 14568) | 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 (87408 ÷ 8 = 10926) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87408 ÷ 9 = 9712) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87408 ÷ 12 = 7284) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87408 a prime number?
No. 87408 = × × 607, so it is divisible by 2.
What are the factors of 87408?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 607, 1214, 1821, 2428, 3642, 4856, 5463, 7284, 9712, 10926, 14568, 21852, 29136, 43704, 87408.
What is 87408 in binary?
10101010101110000 (hexadecimal 15570, octal 252560).
What is the square root of 87408?
About 295.6484, exactly 12√607.
Is 87408 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87408?
87408 is a happy number: repeatedly adding the squares of its digits reaches 1.