The number 31626
31626 is a triangular number: 1 + 2 + … + 251 = 31626. Its prime factorisation is 2 × × 7 × 251. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 251, 502, 753, 1506 … 31626.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31626: a triangular number: 1 + 2 + … + 251 = 31626; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
31626 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 31626 itself that is 46998, so 31626 is abundant (46998 is more than 31626). Euler's totient φ(31626) = 9000 numbers up to 31626 share no factor with it.
- 4
The digits of 31626 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31626 = 2 \times 3^{2} \times 7 \times 251 \]31626 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 9000 |
| Square | 1000203876 |
| Cube | 31632447782376 |
| Square root | 177.837004 (= 3√3514) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1626 × |
31626 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and twenty-six |
| Binary (base 2) | 111101110001010 |
| Octal (base 8) | 75612 |
| Hexadecimal (base 16) | 7B8A |
| Base 3 | 1121101100 |
| As time | 31626 seconds = 8 h 47 min 6 s |
Is 31626 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31626 ÷ 2 = 15813) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31626 ÷ 3 = 10542) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (31626 ÷ 6 = 5271) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31626 ÷ 7 = 4518) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31626 ÷ 9 = 3514) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31626 a prime number?
No. 31626 = 2 × × 7 × 251, so it is divisible by 2.
What are the factors of 31626?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 251, 502, 753, 1506, 1757, 2259, 3514, 4518, 5271, 10542, 15813, 31626.
What is 31626 in binary?
111101110001010 (hexadecimal 7B8A, octal 75612).
What is the square root of 31626?
About 177.8370, exactly 3√3514.
Is 31626 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31626?
31626 is a triangular number: 1 + 2 + … + 251 = 31626; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.