The number 87609
87609 is a composite number with 16 divisors. Its prime factorisation is 3 × 19 × 29 × 53. Divisors (16): 1, 3, 19, 29, 53, 57, 87, 159, 551, 1007, 1537, 1653, 3021, 4611, 29203, 87609.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87609: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87609 is composite. Its prime factorisation is
- 3
The divisors add up to 129600; without 87609 itself that is 41991, so 87609 is deficient (41991 is less than 87609). Euler's totient φ(87609) = 52416 numbers up to 87609 share no factor with it.
- 4
The digits of 87609 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87609 = 3 \times 19 \times 29 \times 53 \]
87609 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 129600 |
| Euler totient φ(n) | 52416 |
| Square | 7675336881 |
| Cube | 672428588807529 |
| Square root | 295.988175 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.7609 × |
87609 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand six hundred and nine |
| Binary (base 2) | 10101011000111001 |
| Octal (base 8) | 253071 |
| Hexadecimal (base 16) | 15639 |
| Base 3 | 11110011210 |
| As time | 87609 seconds = 24 h 20 min 9 s |
Is 87609 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87609 ÷ 3 = 29203) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87609 a prime number?
No. 87609 = 3 × 19 × 29 × 53, so it is divisible by 3.
What are the factors of 87609?
1, 3, 19, 29, 53, 57, 87, 159, 551, 1007, 1537, 1653, 3021, 4611, 29203, 87609.
What is 87609 in binary?
10101011000111001 (hexadecimal 15639, octal 253071).
What is the square root of 87609?
About 295.9882.
Is 87609 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 87609?
87609 is a happy number: repeatedly adding the squares of its digits reaches 1.