The number 62988
62988 is a composite number with 24 divisors. Its prime factorisation is × 3 × 29 × 181. Divisors (24): 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 181, 348, 362, 543, 724 … 62988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
62988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
62988 is composite. Its prime factorisation is
- 3
The divisors add up to 152880; without 62988 itself that is 89892, so 62988 is abundant (89892 is more than 62988). Euler's totient φ(62988) = 20160 numbers up to 62988 share no factor with it.
- 4
The digits of 62988 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62988 = 2^{2} \times 3 \times 29 \times 181 \]62988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 152880 |
| Euler totient φ(n) | 20160 |
| Square | 3967488144 |
| Cube | 249904143214272 |
| Square root | 250.974102 (= 2√15747) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.2988 × |
62988 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand nine hundred and eighty-eight |
| Binary (base 2) | 1111011000001100 |
| Octal (base 8) | 173014 |
| Hexadecimal (base 16) | F60C |
| Base 3 | 10012101220 |
| As time | 62988 seconds = 17 h 29 min 48 s |
Is 62988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62988 ÷ 2 = 31494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (62988 ÷ 3 = 20996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (62988 ÷ 4 = 15747) | 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 (62988 ÷ 6 = 10498) | 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 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (62988 ÷ 12 = 5249) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62988 a prime number?
No. 62988 = × 3 × 29 × 181, so it is divisible by 2.
What are the factors of 62988?
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 181, 348, 362, 543, 724, 1086, 2172, 5249, 10498, 15747, 20996, 31494, 62988.
What is 62988 in binary?
1111011000001100 (hexadecimal F60C, octal 173014).
What is the square root of 62988?
About 250.9741, exactly 2√15747.
Is 62988 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 62988?
It is a composite number with 24 divisors.