The number 62272
62272 is a composite number with 28 divisors. Its prime factorisation is × 7 × 139. Divisors (28): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 139, 224, 278, 448 … 62272.
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How to work it out
- 1
What is special about 62272: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
62272 is composite. Its prime factorisation is
- 3
The divisors add up to 142240; without 62272 itself that is 79968, so 62272 is abundant (79968 is more than 62272). Euler's totient φ(62272) = 26496 numbers up to 62272 share no factor with it.
- 4
The digits of 62272 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62272 = 2^{6} \times 7 \times 139 \]62272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 142240 |
| Euler totient φ(n) | 26496 |
| Square | 3877801984 |
| Cube | 241478485147648 |
| Square root | 249.543583 (= 8√973) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 104 |
| Scientific notation | 6.2272 × |
62272 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand two hundred and seventy-two |
| Binary (base 2) | 1111001101000000 |
| Octal (base 8) | 171500 |
| Hexadecimal (base 16) | F340 |
| Base 3 | 10011102101 |
| As time | 62272 seconds = 17 h 17 min 52 s |
Is 62272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62272 ÷ 2 = 31136) | 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 (62272 ÷ 4 = 15568) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (62272 ÷ 7 = 8896) | 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 (62272 ÷ 8 = 7784) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | 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 62272 a prime number?
No. 62272 = × 7 × 139, so it is divisible by 2.
What are the factors of 62272?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 139, 224, 278, 448, 556, 973, 1112, 1946, 2224, 3892, 4448, 7784, 8896, 15568, 31136, 62272.
What is 62272 in binary?
1111001101000000 (hexadecimal F340, octal 171500).
What is the square root of 62272?
About 249.5436, exactly 8√973.
Is 62272 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 62272?
62272 is a happy number: repeatedly adding the squares of its digits reaches 1.