The number 62440
62440 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 223. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 223 … 62440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
62440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
62440 is composite. Its prime factorisation is
- 3
The divisors add up to 161280; without 62440 itself that is 98840, so 62440 is abundant (98840 is more than 62440). Euler's totient φ(62440) = 21312 numbers up to 62440 share no factor with it.
- 4
The digits of 62440 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62440 = 2^{3} \times 5 \times 7 \times 223 \]62440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 161280 |
| Euler totient φ(n) | 21312 |
| Square | 3898753600 |
| Cube | 243438174784000 |
| Square root | 249.879971 (= 2√15610) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.244 × |
62440 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand four hundred and forty |
| Binary (base 2) | 1111001111101000 |
| Octal (base 8) | 171750 |
| Hexadecimal (base 16) | F3E8 |
| Base 3 | 10011122121 |
| As time | 62440 seconds = 17 h 20 min 40 s |
Is 62440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62440 ÷ 2 = 31220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (62440 ÷ 4 = 15610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (62440 ÷ 5 = 12488) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (62440 ÷ 7 = 8920) | 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 (62440 ÷ 8 = 7805) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (62440 ÷ 10 = 6244) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62440 a prime number?
No. 62440 = × 5 × 7 × 223, so it is divisible by 2.
What are the factors of 62440?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 223, 280, 446, 892, 1115, 1561, 1784, 2230, 3122, 4460, 6244, 7805, 8920, 12488, 15610, 31220, 62440.
What is 62440 in binary?
1111001111101000 (hexadecimal F3E8, octal 171750).
What is the square root of 62440?
About 249.8800, exactly 2√15610.
Is 62440 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 62440?
It is a composite number with 32 divisors.