The number 62748
62748 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 83. Divisors (48): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54 … 62748.
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How to work it out
- 1
What is special about 62748: a Harshad number: divisible by its digit sum 27.
- 2
62748 is composite. Its prime factorisation is
- 3
The divisors add up to 188160; without 62748 itself that is 125412, so 62748 is abundant (125412 is more than 62748). Euler's totient φ(62748) = 17712 numbers up to 62748 share no factor with it.
- 4
The digits of 62748 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 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62748 = 2^{2} \times 3^{3} \times 7 \times 83 \]62748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 188160 |
| Euler totient φ(n) | 17712 |
| Square | 3937311504 |
| Cube | 247058422252992 |
| Square root | 250.495509 (= 6√1743) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.2748 × |
62748 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand seven hundred and forty-eight |
| Binary (base 2) | 1111010100011100 |
| Octal (base 8) | 172434 |
| Hexadecimal (base 16) | F51C |
| Base 3 | 10012002000 |
| As time | 62748 seconds = 17 h 25 min 48 s |
Is 62748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62748 ÷ 2 = 31374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (62748 ÷ 3 = 20916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (62748 ÷ 4 = 15687) | 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 (62748 ÷ 6 = 10458) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (62748 ÷ 7 = 8964) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (62748 ÷ 9 = 6972) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (62748 ÷ 12 = 5229) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62748 a prime number?
No. 62748 = × × 7 × 83, so it is divisible by 2.
What are the factors of 62748?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 83, 84, 108, 126, 166, 189, 249, 252, 332, 378, 498, 581, 747, 756, 996, 1162, 1494, 1743, 2241, 2324, 2988, 3486, 4482, 5229, 6972, 8964, 10458, 15687, 20916, 31374, 62748.
What is 62748 in binary?
1111010100011100 (hexadecimal F51C, octal 172434).
What is the square root of 62748?
About 250.4955, exactly 6√1743.
Is 62748 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 62748?
62748 is a Harshad number: divisible by its digit sum 27.