The number 23112
23112 is a composite number with 32 divisors. Its prime factorisation is × × 107. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 107, 108 … 23112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23112: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
23112 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 23112 itself that is 41688, so 23112 is abundant (41688 is more than 23112). Euler's totient φ(23112) = 7632 numbers up to 23112 share no factor with it.
- 4
The digits of 23112 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 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23112 = 2^{3} \times 3^{3} \times 107 \]23112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 7632 |
| Square | 534164544 |
| Cube | 12345610940928 |
| Square root | 152.026314 (= 6√642) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.3112 × |
23112 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand one hundred and twelve |
| Binary (base 2) | 101101001001000 |
| Octal (base 8) | 55110 |
| Hexadecimal (base 16) | 5A48 |
| Base 3 | 1011201000 |
| As time | 23112 seconds = 6 h 25 min 12 s |
Is 23112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23112 ÷ 2 = 11556) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23112 ÷ 3 = 7704) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23112 ÷ 4 = 5778) | 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 | Yes (23112 ÷ 6 = 3852) | 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 | Yes (23112 ÷ 8 = 2889) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23112 ÷ 9 = 2568) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (23112 ÷ 12 = 1926) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23112 a prime number?
No. 23112 = × × 107, so it is divisible by 2.
What are the factors of 23112?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 107, 108, 214, 216, 321, 428, 642, 856, 963, 1284, 1926, 2568, 2889, 3852, 5778, 7704, 11556, 23112.
What is 23112 in binary?
101101001001000 (hexadecimal 5A48, octal 55110).
What is the square root of 23112?
About 152.0263, exactly 6√642.
Is 23112 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 23112?
23112 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.