The number 21114
21114 is a composite number with 32 divisors. Its prime factorisation is 2 × × 17 × 23. Divisors (32): 1, 2, 3, 6, 9, 17, 18, 23, 27, 34, 46, 51, 54, 69, 102, 138 … 21114.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21114: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
21114 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 21114 itself that is 30726, so 21114 is abundant (30726 is more than 21114). Euler's totient φ(21114) = 6336 numbers up to 21114 share no factor with it.
- 4
The digits of 21114 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 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21114 = 2 \times 3^{3} \times 17 \times 23 \]21114 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 6336 |
| Square | 445800996 |
| Cube | 9412642229544 |
| Square root | 145.306572 (= 3√2346) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 149 |
| Scientific notation | 2.1114 × |
21114 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand one hundred and fourteen |
| Binary (base 2) | 101001001111010 |
| Octal (base 8) | 51172 |
| Hexadecimal (base 16) | 527A |
| Base 3 | 1001222000 |
| As time | 21114 seconds = 5 h 51 min 54 s |
Is 21114 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21114 ÷ 2 = 10557) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21114 ÷ 3 = 7038) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (21114 ÷ 6 = 3519) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (21114 ÷ 9 = 2346) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21114 a prime number?
No. 21114 = 2 × × 17 × 23, so it is divisible by 2.
What are the factors of 21114?
1, 2, 3, 6, 9, 17, 18, 23, 27, 34, 46, 51, 54, 69, 102, 138, 153, 207, 306, 391, 414, 459, 621, 782, 918, 1173, 1242, 2346, 3519, 7038, 10557, 21114.
What is 21114 in binary?
101001001111010 (hexadecimal 527A, octal 51172).
What is the square root of 21114?
About 145.3066, exactly 3√2346.
Is 21114 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 21114?
21114 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.