The number 62448
62448 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1301. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1301, 2602, 3903, 5204, 7806, 10408 … 62448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62448: a Harshad number: divisible by its digit sum 24.
- 2
62448 is composite. Its prime factorisation is
- 3
The divisors add up to 161448; without 62448 itself that is 99000, so 62448 is abundant (99000 is more than 62448). Euler's totient φ(62448) = 20800 numbers up to 62448 share no factor with it.
- 4
The digits of 62448 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 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62448 = 2^{4} \times 3 \times 1301 \]62448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 161448 |
| Euler totient φ(n) | 20800 |
| Square | 3899752704 |
| Cube | 243531756859392 |
| Square root | 249.895978 (= 4√3903) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.2448 × |
62448 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand four hundred and forty-eight |
| Binary (base 2) | 1111001111110000 |
| Octal (base 8) | 171760 |
| Hexadecimal (base 16) | F3F0 |
| Base 3 | 10011122220 |
| As time | 62448 seconds = 17 h 20 min 48 s |
Is 62448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62448 ÷ 2 = 31224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (62448 ÷ 3 = 20816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (62448 ÷ 4 = 15612) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (62448 ÷ 6 = 10408) | 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 (62448 ÷ 8 = 7806) | 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 8) | 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 (62448 ÷ 12 = 5204) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62448 a prime number?
No. 62448 = × 3 × 1301, so it is divisible by 2.
What are the factors of 62448?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1301, 2602, 3903, 5204, 7806, 10408, 15612, 20816, 31224, 62448.
What is 62448 in binary?
1111001111110000 (hexadecimal F3F0, octal 171760).
What is the square root of 62448?
About 249.8960, exactly 4√3903.
Is 62448 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 62448?
62448 is a Harshad number: divisible by its digit sum 24.