The number 5496
5496 is a composite number with 16 divisors. Its prime factorisation is × 3 × 229. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5496: a Harshad number: divisible by its digit sum 24.
- 2
5496 is composite. Its prime factorisation is
- 3
The divisors add up to 13800; without 5496 itself that is 8304, so 5496 is abundant (8304 is more than 5496). Euler's totient φ(5496) = 1824 numbers up to 5496 share no factor with it.
- 4
The digits of 5496 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5496 = 2^{3} \times 3 \times 229 \]5496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13800 |
| Euler totient φ(n) | 1824 |
| Square | 30206016 |
| Cube | 166012263936 |
| Square root | 74.135012 (= 2√1374) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.496 × |
5496 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and ninety-six |
| Binary (base 2) | 1010101111000 |
| Octal (base 8) | 12570 |
| Hexadecimal (base 16) | 1578 |
| Base 3 | 21112120 |
| As time | 5496 seconds = 1 h 31 min 36 s |
Is 5496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5496 ÷ 2 = 2748) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5496 ÷ 3 = 1832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5496 ÷ 4 = 1374) | 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 (5496 ÷ 6 = 916) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (5496 ÷ 8 = 687) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5496 ÷ 12 = 458) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5496 a prime number?
No. 5496 = × 3 × 229, so it is divisible by 2.
What are the factors of 5496?
1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496.
What is 5496 in binary?
1010101111000 (hexadecimal 1578, octal 12570).
What is the square root of 5496?
About 74.1350, exactly 2√1374.
Is 5496 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 5496?
5496 is a Harshad number: divisible by its digit sum 24.