The number 62540
62540 is a composite number with 24 divisors. Its prime factorisation is × 5 × 53 × 59. Divisors (24): 1, 2, 4, 5, 10, 20, 53, 59, 106, 118, 212, 236, 265, 295, 530, 590 … 62540.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
62540 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
62540 is composite. Its prime factorisation is
- 3
The divisors add up to 136080; without 62540 itself that is 73540, so 62540 is abundant (73540 is more than 62540). Euler's totient φ(62540) = 24128 numbers up to 62540 share no factor with it.
- 4
The digits of 62540 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62540 = 2^{2} \times 5 \times 53 \times 59 \]62540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 136080 |
| Euler totient φ(n) | 24128 |
| Square | 3911251600 |
| Cube | 244609675064000 |
| Square root | 250.079987 (= 2√15635) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.254 × |
62540 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand five hundred and forty |
| Binary (base 2) | 1111010001001100 |
| Octal (base 8) | 172114 |
| Hexadecimal (base 16) | F44C |
| Base 3 | 10011210022 |
| As time | 62540 seconds = 17 h 22 min 20 s |
Is 62540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62540 ÷ 2 = 31270) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (62540 ÷ 4 = 15635) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (62540 ÷ 5 = 12508) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (62540 ÷ 10 = 6254) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62540 a prime number?
No. 62540 = × 5 × 53 × 59, so it is divisible by 2.
What are the factors of 62540?
1, 2, 4, 5, 10, 20, 53, 59, 106, 118, 212, 236, 265, 295, 530, 590, 1060, 1180, 3127, 6254, 12508, 15635, 31270, 62540.
What is 62540 in binary?
1111010001001100 (hexadecimal F44C, octal 172114).
What is the square root of 62540?
About 250.0800, exactly 2√15635.
Is 62540 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 62540?
It is a composite number with 24 divisors.