The number 87633
87633 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 107. Divisors (24): 1, 3, 7, 9, 13, 21, 39, 63, 91, 107, 117, 273, 321, 749, 819, 963 … 87633.
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How to work it out
- 1
What is special about 87633: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87633 is composite. Its prime factorisation is
- 3
The divisors add up to 157248; without 87633 itself that is 69615, so 87633 is deficient (69615 is less than 87633). Euler's totient φ(87633) = 45792 numbers up to 87633 share no factor with it.
- 4
The digits of 87633 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 226 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87633 = 3^{2} \times 7 \times 13 \times 107 \]87633 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 157248 |
| Euler totient φ(n) | 45792 |
| Square | 7679542689 |
| Cube | 672981364465137 |
| Square root | 296.028715 (= 3√9737) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 226 |
| Scientific notation | 8.7633 × |
87633 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand six hundred and thirty-three |
| Binary (base 2) | 10101011001010001 |
| Octal (base 8) | 253121 |
| Hexadecimal (base 16) | 15651 |
| Base 3 | 11110012200 |
| As time | 87633 seconds = 24 h 20 min 33 s |
Is 87633 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 (87633 ÷ 3 = 29211) | 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 3) | 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 | Yes (87633 ÷ 7 = 12519) | 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 | Yes (87633 ÷ 9 = 9737) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87633 a prime number?
No. 87633 = × 7 × 13 × 107, so it is divisible by 3.
What are the factors of 87633?
1, 3, 7, 9, 13, 21, 39, 63, 91, 107, 117, 273, 321, 749, 819, 963, 1391, 2247, 4173, 6741, 9737, 12519, 29211, 87633.
What is 87633 in binary?
10101011001010001 (hexadecimal 15651, octal 253121).
What is the square root of 87633?
About 296.0287, exactly 3√9737.
Is 87633 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87633?
87633 is a happy number: repeatedly adding the squares of its digits reaches 1.