The number 62496
62496 is a composite number with 72 divisors. Its prime factorisation is × × 7 × 31. Divisors (72): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 31 … 62496.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
62496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
62496 is composite. Its prime factorisation is
- 3
The divisors add up to 209664; without 62496 itself that is 147168, so 62496 is abundant (147168 is more than 62496). Euler's totient φ(62496) = 17280 numbers up to 62496 share no factor with it.
- 4
The digits of 62496 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62496 = 2^{5} \times 3^{2} \times 7 \times 31 \]62496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 209664 |
| Euler totient φ(n) | 17280 |
| Square | 3905750016 |
| Cube | 244093752999936 |
| Square root | 249.992000 (= 12√434) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.2496 × |
62496 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand four hundred and ninety-six |
| Binary (base 2) | 1111010000100000 |
| Octal (base 8) | 172040 |
| Hexadecimal (base 16) | F420 |
| Base 3 | 10011201200 |
| As time | 62496 seconds = 17 h 21 min 36 s |
Is 62496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62496 ÷ 2 = 31248) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (62496 ÷ 3 = 20832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (62496 ÷ 4 = 15624) | 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 (62496 ÷ 6 = 10416) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (62496 ÷ 7 = 8928) | 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 (62496 ÷ 8 = 7812) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (62496 ÷ 9 = 6944) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (62496 ÷ 12 = 5208) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62496 a prime number?
No. 62496 = × × 7 × 31, so it is divisible by 2.
What are the factors of 62496?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 31, 32, 36, 42, 48, 56, 62, 63, 72, 84, 93, 96, 112, 124, 126, 144, 168, 186, 217, 224, 248, 252, 279, 288, 336, 372, 434, 496, 504, 558, 651, 672, 744, 868, 992, 1008, 1116, 1302, 1488, 1736, 1953, 2016, 2232, 2604, 2976, 3472, 3906, 4464, 5208, 6944, 7812, 8928, 10416, 15624, 20832, 31248, 62496.
What is 62496 in binary?
1111010000100000 (hexadecimal F420, octal 172040).
What is the square root of 62496?
About 249.9920, exactly 12√434.
Is 62496 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 62496?
It is a composite number with 72 divisors.