The number 15220
15220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 761. Divisors (12): 1, 2, 4, 5, 10, 20, 761, 1522, 3044, 3805, 7610, 15220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15220: a Harshad number: divisible by its digit sum 10.
- 2
15220 is composite. Its prime factorisation is
- 3
The divisors add up to 32004; without 15220 itself that is 16784, so 15220 is abundant (16784 is more than 15220). Euler's totient φ(15220) = 6080 numbers up to 15220 share no factor with it.
- 4
The digits of 15220 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15220 = 2^{2} \times 5 \times 761 \]15220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 32004 |
| Euler totient φ(n) | 6080 |
| Square | 231648400 |
| Cube | 3525688648000 |
| Square root | 123.369364 (= 2√3805) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.522 × |
15220 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand two hundred and twenty |
| Binary (base 2) | 11101101110100 |
| Octal (base 8) | 35564 |
| Hexadecimal (base 16) | 3B74 |
| Base 3 | 202212201 |
| As time | 15220 seconds = 4 h 13 min 40 s |
Is 15220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15220 ÷ 2 = 7610) | 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 (15220 ÷ 4 = 3805) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (15220 ÷ 5 = 3044) | 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 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (15220 ÷ 10 = 1522) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 15220 a prime number?
No. 15220 = × 5 × 761, so it is divisible by 2.
What are the factors of 15220?
1, 2, 4, 5, 10, 20, 761, 1522, 3044, 3805, 7610, 15220.
What is 15220 in binary?
11101101110100 (hexadecimal 3B74, octal 35564).
What is the square root of 15220?
About 123.3694, exactly 2√3805.
Is 15220 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 15220?
15220 is a Harshad number: divisible by its digit sum 10.