The number 16620
16620 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 277. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 277, 554, 831, 1108 … 16620.
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How to work it out
- 1
What is special about 16620: a Harshad number: divisible by its digit sum 15.
- 2
16620 is composite. Its prime factorisation is
- 3
The divisors add up to 46704; without 16620 itself that is 30084, so 16620 is abundant (30084 is more than 16620). Euler's totient φ(16620) = 4416 numbers up to 16620 share no factor with it.
- 4
The digits of 16620 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16620 = 2^{2} \times 3 \times 5 \times 277 \]16620 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 46704 |
| Euler totient φ(n) | 4416 |
| Square | 276224400 |
| Cube | 4590849528000 |
| Square root | 128.918579 (= 2√4155) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.662 × |
16620 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and twenty |
| Binary (base 2) | 100000011101100 |
| Octal (base 8) | 40354 |
| Hexadecimal (base 16) | 40EC |
| Base 3 | 211210120 |
| As time | 16620 seconds = 4 h 37 min 0 s |
Is 16620 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16620 ÷ 2 = 8310) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16620 ÷ 3 = 5540) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16620 ÷ 4 = 4155) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16620 ÷ 5 = 3324) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16620 ÷ 6 = 2770) | 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 | Yes (16620 ÷ 10 = 1662) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16620 ÷ 12 = 1385) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16620 a prime number?
No. 16620 = × 3 × 5 × 277, so it is divisible by 2.
What are the factors of 16620?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 277, 554, 831, 1108, 1385, 1662, 2770, 3324, 4155, 5540, 8310, 16620.
What is 16620 in binary?
100000011101100 (hexadecimal 40EC, octal 40354).
What is the square root of 16620?
About 128.9186, exactly 2√4155.
Is 16620 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16620?
16620 is a Harshad number: divisible by its digit sum 15.