The number 2620
2620 is a composite number with 12 divisors. Its prime factorisation is × 5 × 131. Divisors (12): 1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2620: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
2620 is composite. Its prime factorisation is
- 3
The divisors add up to 5544; without 2620 itself that is 2924, so 2620 is abundant (2924 is more than 2620). Euler's totient φ(2620) = 1040 numbers up to 2620 share no factor with it.
- 4
The digits of 2620 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 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2620 = 2^{2} \times 5 \times 131 \]2620 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5544 |
| Euler totient φ(n) | 1040 |
| Square | 6864400 |
| Cube | 17984728000 |
| Square root | 51.185936 (= 2√655) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 146 |
| Scientific notation | 2.62 × |
2620 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and twenty |
| Roman numerals | MMDCXX |
| Binary (base 2) | 101000111100 |
| Octal (base 8) | 5074 |
| Hexadecimal (base 16) | A3C |
| Base 3 | 10121001 |
| As time | 2620 seconds = 43 min 40 s |
Is 2620 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2620 ÷ 2 = 1310) | 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 (2620 ÷ 4 = 655) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2620 ÷ 5 = 524) | 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 (2620 ÷ 10 = 262) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 2620 a prime number?
No. 2620 = × 5 × 131, so it is divisible by 2.
What are the factors of 2620?
1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620.
What is 2620 in binary?
101000111100 (hexadecimal A3C, octal 5074).
What is the square root of 2620?
About 51.1859, exactly 2√655.
What is 2620 in Roman numerals?
MMDCXX.
Is 2620 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2620?
2620 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.