The number 12617
12617 is a composite number with 8 divisors. Its prime factorisation is 11 × 31 × 37. Divisors (8): 1, 11, 31, 37, 341, 407, 1147, 12617.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12617: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12617 is composite. Its prime factorisation is
- 3
The divisors add up to 14592; without 12617 itself that is 1975, so 12617 is deficient (1975 is less than 12617). Euler's totient φ(12617) = 10800 numbers up to 12617 share no factor with it.
- 4
The digits of 12617 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12617 = 11 \times 31 \times 37 \]
12617 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14592 |
| Euler totient φ(n) | 10800 |
| Square | 159188689 |
| Cube | 2008483689113 |
| Square root | 112.325420 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.2617 × |
12617 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand six hundred and seventeen |
| Binary (base 2) | 11000101001001 |
| Octal (base 8) | 30511 |
| Hexadecimal (base 16) | 3149 |
| Base 3 | 122022022 |
| As time | 12617 seconds = 3 h 30 min 17 s |
Is 12617 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 | No (remainder 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (12617 ÷ 11 = 1147) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12617 a prime number?
No. 12617 = 11 × 31 × 37, so it is divisible by 11.
What are the factors of 12617?
1, 11, 31, 37, 341, 407, 1147, 12617.
What is 12617 in binary?
11000101001001 (hexadecimal 3149, octal 30511).
What is the square root of 12617?
About 112.3254.
Is 12617 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 12617?
12617 is a happy number: repeatedly adding the squares of its digits reaches 1.