The number 53496
53496 is a composite number with 24 divisors. Its prime factorisation is × × 743. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 743, 1486, 2229, 2972 … 53496.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53496: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53496 is composite. Its prime factorisation is
- 3
The divisors add up to 145080; without 53496 itself that is 91584, so 53496 is abundant (91584 is more than 53496). Euler's totient φ(53496) = 17808 numbers up to 53496 share no factor with it.
- 4
The digits of 53496 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53496 = 2^{3} \times 3^{2} \times 743 \]53496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 145080 |
| Euler totient φ(n) | 17808 |
| Square | 2861822016 |
| Cube | 153096030567936 |
| Square root | 231.292023 (= 6√1486) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.3496 × |
53496 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and ninety-six |
| Binary (base 2) | 1101000011111000 |
| Octal (base 8) | 150370 |
| Hexadecimal (base 16) | D0F8 |
| Base 3 | 2201101100 |
| As time | 53496 seconds = 14 h 51 min 36 s |
Is 53496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53496 ÷ 2 = 26748) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53496 ÷ 3 = 17832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53496 ÷ 4 = 13374) | 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 (53496 ÷ 6 = 8916) | 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 | Yes (53496 ÷ 8 = 6687) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53496 ÷ 9 = 5944) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53496 ÷ 12 = 4458) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53496 a prime number?
No. 53496 = × × 743, so it is divisible by 2.
What are the factors of 53496?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 743, 1486, 2229, 2972, 4458, 5944, 6687, 8916, 13374, 17832, 26748, 53496.
What is 53496 in binary?
1101000011111000 (hexadecimal D0F8, octal 150370).
What is the square root of 53496?
About 231.2920, exactly 6√1486.
Is 53496 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53496?
53496 is a happy number: repeatedly adding the squares of its digits reaches 1.