The number 23496
23496 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 89. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 89, 132 … 23496.
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How to work it out
- 1
What is special about 23496: a Harshad number: divisible by its digit sum 24.
- 2
23496 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 23496 itself that is 41304, so 23496 is abundant (41304 is more than 23496). Euler's totient φ(23496) = 7040 numbers up to 23496 share no factor with it.
- 4
The digits of 23496 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23496 = 2^{3} \times 3 \times 11 \times 89 \]23496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 7040 |
| Square | 552062016 |
| Cube | 12971249127936 |
| Square root | 153.284050 (= 2√5874) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.3496 × |
23496 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and ninety-six |
| Binary (base 2) | 101101111001000 |
| Octal (base 8) | 55710 |
| Hexadecimal (base 16) | 5BC8 |
| Base 3 | 1012020020 |
| As time | 23496 seconds = 6 h 31 min 36 s |
Is 23496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23496 ÷ 2 = 11748) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23496 ÷ 3 = 7832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23496 ÷ 4 = 5874) | 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 (23496 ÷ 6 = 3916) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (23496 ÷ 8 = 2937) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (23496 ÷ 11 = 2136) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (23496 ÷ 12 = 1958) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23496 a prime number?
No. 23496 = × 3 × 11 × 89, so it is divisible by 2.
What are the factors of 23496?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 89, 132, 178, 264, 267, 356, 534, 712, 979, 1068, 1958, 2136, 2937, 3916, 5874, 7832, 11748, 23496.
What is 23496 in binary?
101101111001000 (hexadecimal 5BC8, octal 55710).
What is the square root of 23496?
About 153.2841, exactly 2√5874.
Is 23496 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 23496?
23496 is a Harshad number: divisible by its digit sum 24.