The number 2701
2701 is a triangular number: 1 + 2 + … + 73 = 2701. Its prime factorisation is 37 × 73. Divisors (4): 1, 37, 73, 2701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2701: a triangular number: 1 + 2 + … + 73 = 2701; a semiprime: 37 × 73, the product of two primes.
- 2
2701 is composite. Its prime factorisation is
- 3
The divisors add up to 2812; without 2701 itself that is 111, so 2701 is deficient (111 is less than 2701). Euler's totient φ(2701) = 2592 numbers up to 2701 share no factor with it.
- 4
The digits of 2701 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2701 = 37 \times 73 \]
2701 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2812 |
| Euler totient φ(n) | 2592 |
| Square | 7295401 |
| Cube | 19704878101 |
| Square root | 51.971146 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 115 |
| Scientific notation | 2.701 × |
2701 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and one |
| Roman numerals | MMDCCI |
| Binary (base 2) | 101010001101 |
| Octal (base 8) | 5215 |
| Hexadecimal (base 16) | A8D |
| Base 3 | 10201001 |
| As time | 2701 seconds = 45 min 1 s |
Is 2701 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2701 a prime number?
No. 2701 = 37 × 73, so it is divisible by 37.
What are the factors of 2701?
1, 37, 73, 2701.
What is 2701 in binary?
101010001101 (hexadecimal A8D, octal 5215).
What is the square root of 2701?
About 51.9711.
What is 2701 in Roman numerals?
MMDCCI.
Is 2701 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2701?
2701 is a triangular number: 1 + 2 + … + 73 = 2701; a semiprime: 37 × 73, the product of two primes.