The number 12501
12501 is a composite number with 8 divisors. Its prime factorisation is × 463. Divisors (8): 1, 3, 9, 27, 463, 1389, 4167, 12501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12501: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
12501 is composite. Its prime factorisation is
- 3
The divisors add up to 18560; without 12501 itself that is 6059, so 12501 is deficient (6059 is less than 12501). Euler's totient φ(12501) = 8316 numbers up to 12501 share no factor with it.
- 4
The digits of 12501 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12501 = 3^{3} \times 463 \]12501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18560 |
| Euler totient φ(n) | 8316 |
| Square | 156275001 |
| Cube | 1953593787501 |
| Square root | 111.807871 (= 3√1389) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.2501 × |
12501 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand five hundred and one |
| Binary (base 2) | 11000011010101 |
| Octal (base 8) | 30325 |
| Hexadecimal (base 16) | 30D5 |
| Base 3 | 122011000 |
| As time | 12501 seconds = 3 h 28 min 21 s |
Is 12501 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 (12501 ÷ 3 = 4167) | 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 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (12501 ÷ 9 = 1389) | 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 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 12501 a prime number?
No. 12501 = × 463, so it is divisible by 3.
What are the factors of 12501?
1, 3, 9, 27, 463, 1389, 4167, 12501.
What is 12501 in binary?
11000011010101 (hexadecimal 30D5, octal 30325).
What is the square root of 12501?
About 111.8079, exactly 3√1389.
Is 12501 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 12501?
12501 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.