The number 62552
62552 is a composite number with 16 divisors. Its prime factorisation is × 7 × 1117. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 1117, 2234, 4468, 7819, 8936, 15638, 31276, 62552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62552: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
62552 is composite. Its prime factorisation is
- 3
The divisors add up to 134160; without 62552 itself that is 71608, so 62552 is abundant (71608 is more than 62552). Euler's totient φ(62552) = 26784 numbers up to 62552 share no factor with it.
- 4
The digits of 62552 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62552 = 2^{3} \times 7 \times 1117 \]62552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 134160 |
| Euler totient φ(n) | 26784 |
| Square | 3912752704 |
| Cube | 244750507140608 |
| Square root | 250.103978 (= 2√15638) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.2552 × |
62552 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand five hundred and fifty-two |
| Binary (base 2) | 1111010001011000 |
| Octal (base 8) | 172130 |
| Hexadecimal (base 16) | F458 |
| Base 3 | 10011210202 |
| As time | 62552 seconds = 17 h 22 min 32 s |
Is 62552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62552 ÷ 2 = 31276) | 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 (62552 ÷ 4 = 15638) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (62552 ÷ 7 = 8936) | 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 (62552 ÷ 8 = 7819) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 62552 a prime number?
No. 62552 = × 7 × 1117, so it is divisible by 2.
What are the factors of 62552?
1, 2, 4, 7, 8, 14, 28, 56, 1117, 2234, 4468, 7819, 8936, 15638, 31276, 62552.
What is 62552 in binary?
1111010001011000 (hexadecimal F458, octal 172130).
What is the square root of 62552?
About 250.1040, exactly 2√15638.
Is 62552 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 62552?
62552 is a happy number: repeatedly adding the squares of its digits reaches 1.