The number 23016
23016 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 137. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 137 … 23016.
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How to work it out
- 1
What is special about 23016: a Harshad number: divisible by its digit sum 12.
- 2
23016 is composite. Its prime factorisation is
- 3
The divisors add up to 66240; without 23016 itself that is 43224, so 23016 is abundant (43224 is more than 23016). Euler's totient φ(23016) = 6528 numbers up to 23016 share no factor with it.
- 4
The digits of 23016 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23016 = 2^{3} \times 3 \times 7 \times 137 \]23016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 66240 |
| Euler totient φ(n) | 6528 |
| Square | 529736256 |
| Cube | 12192409668096 |
| Square root | 151.710250 (= 2√5754) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.3016 × |
23016 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and sixteen |
| Binary (base 2) | 101100111101000 |
| Octal (base 8) | 54750 |
| Hexadecimal (base 16) | 59E8 |
| Base 3 | 1011120110 |
| As time | 23016 seconds = 6 h 23 min 36 s |
Is 23016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23016 ÷ 2 = 11508) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23016 ÷ 3 = 7672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23016 ÷ 4 = 5754) | 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 (23016 ÷ 6 = 3836) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (23016 ÷ 7 = 3288) | 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 (23016 ÷ 8 = 2877) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (23016 ÷ 12 = 1918) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23016 a prime number?
No. 23016 = × 3 × 7 × 137, so it is divisible by 2.
What are the factors of 23016?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 137, 168, 274, 411, 548, 822, 959, 1096, 1644, 1918, 2877, 3288, 3836, 5754, 7672, 11508, 23016.
What is 23016 in binary?
101100111101000 (hexadecimal 59E8, octal 54750).
What is the square root of 23016?
About 151.7103, exactly 2√5754.
Is 23016 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 23016?
23016 is a Harshad number: divisible by its digit sum 12.