The number 27501
27501 is a composite number with 8 divisors. Its prime factorisation is 3 × 89 × 103. Divisors (8): 1, 3, 89, 103, 267, 309, 9167, 27501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27501: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27501 is composite. Its prime factorisation is
- 3
The divisors add up to 37440; without 27501 itself that is 9939, so 27501 is deficient (9939 is less than 27501). Euler's totient φ(27501) = 17952 numbers up to 27501 share no factor with it.
- 4
The digits of 27501 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27501 = 3 \times 89 \times 103 \]
27501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 37440 |
| Euler totient φ(n) | 17952 |
| Square | 756305001 |
| Cube | 20799143832501 |
| Square root | 165.834255 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7501 × |
27501 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand five hundred and one |
| Binary (base 2) | 110101101101101 |
| Octal (base 8) | 65555 |
| Hexadecimal (base 16) | 6B6D |
| Base 3 | 1101201120 |
| As time | 27501 seconds = 7 h 38 min 21 s |
Is 27501 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 (27501 ÷ 3 = 9167) | 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 1) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 27501 a prime number?
No. 27501 = 3 × 89 × 103, so it is divisible by 3.
What are the factors of 27501?
1, 3, 89, 103, 267, 309, 9167, 27501.
What is 27501 in binary?
110101101101101 (hexadecimal 6B6D, octal 65555).
What is the square root of 27501?
About 165.8343.
Is 27501 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27501?
27501 is a happy number: repeatedly adding the squares of its digits reaches 1.