The number 5272
5272 is a composite number with 8 divisors. Its prime factorisation is × 659. Divisors (8): 1, 2, 4, 8, 659, 1318, 2636, 5272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5272: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5272 is composite. Its prime factorisation is
- 3
The divisors add up to 9900; without 5272 itself that is 4628, so 5272 is deficient (4628 is less than 5272). Euler's totient φ(5272) = 2632 numbers up to 5272 share no factor with it.
- 4
The digits of 5272 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5272 = 2^{3} \times 659 \]5272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9900 |
| Euler totient φ(n) | 2632 |
| Square | 27793984 |
| Cube | 146529883648 |
| Square root | 72.608539 (= 2√1318) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.272 × |
5272 in other forms
| Form | Value |
|---|---|
| In words | five thousand two hundred and seventy-two |
| Binary (base 2) | 1010010011000 |
| Octal (base 8) | 12230 |
| Hexadecimal (base 16) | 1498 |
| Base 3 | 21020021 |
| As time | 5272 seconds = 1 h 27 min 52 s |
Is 5272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5272 ÷ 2 = 2636) | 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 (5272 ÷ 4 = 1318) | 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 | No (remainder 1) | 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 (5272 ÷ 8 = 659) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 5272 a prime number?
No. 5272 = × 659, so it is divisible by 2.
What are the factors of 5272?
1, 2, 4, 8, 659, 1318, 2636, 5272.
What is 5272 in binary?
1010010011000 (hexadecimal 1498, octal 12230).
What is the square root of 5272?
About 72.6085, exactly 2√1318.
Is 5272 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5272?
5272 is a happy number: repeatedly adding the squares of its digits reaches 1.