The number 2601
2601 is a perfect square (51²). Its prime factorisation is × . Divisors (9): 1, 3, 9, 17, 51, 153, 289, 867, 2601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2601: a perfect square (51²); a Harshad number: divisible by its digit sum 9.
- 2
2601 is composite. Its prime factorisation is
- 3
The divisors add up to 3991; without 2601 itself that is 1390, so 2601 is deficient (1390 is less than 2601). Euler's totient φ(2601) = 1632 numbers up to 2601 share no factor with it.
- 4
The digits of 2601 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2601 = 3^{2} \times 17^{2} \]2601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 3991 |
| Euler totient φ(n) | 1632 |
| Square | 6765201 |
| Cube | 17596287801 |
| Square root | 51 |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 177 |
| Scientific notation | 2.601 × |
| Perfect power |
2601 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and one |
| Roman numerals | MMDCI |
| Binary (base 2) | 101000101001 |
| Octal (base 8) | 5051 |
| Hexadecimal (base 16) | A29 |
| Base 3 | 10120100 |
| As time | 2601 seconds = 43 min 21 s |
Is 2601 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 | Yes (2601 ÷ 3 = 867) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2601 ÷ 9 = 289) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2601 a prime number?
No. 2601 = × , so it is divisible by 3.
What are the factors of 2601?
1, 3, 9, 17, 51, 153, 289, 867, 2601.
What is 2601 in binary?
101000101001 (hexadecimal A29, octal 5051).
What is the square root of 2601?
51, because 51 × 51 = 2601.
What is 2601 in Roman numerals?
MMDCI.
Is 2601 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 2601?
2601 is a perfect square (51²); a Harshad number: divisible by its digit sum 9.