The number 3160
3160 is a triangular number: 1 + 2 + … + 79 = 3160. Its prime factorisation is × 5 × 79. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3160: a triangular number: 1 + 2 + … + 79 = 3160; a Harshad number: divisible by its digit sum 10.
- 2
3160 is composite. Its prime factorisation is
- 3
The divisors add up to 7200; without 3160 itself that is 4040, so 3160 is abundant (4040 is more than 3160). Euler's totient φ(3160) = 1248 numbers up to 3160 share no factor with it.
- 4
The digits of 3160 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 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3160 = 2^{3} \times 5 \times 79 \]3160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7200 |
| Euler totient φ(n) | 1248 |
| Square | 9985600 |
| Cube | 31554496000 |
| Square root | 56.213877 (= 2√790) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 79 |
| Scientific notation | 3.16 × |
3160 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and sixty |
| Roman numerals | MMMCLX |
| Binary (base 2) | 110001011000 |
| Octal (base 8) | 6130 |
| Hexadecimal (base 16) | C58 |
| Base 3 | 11100001 |
| As time | 3160 seconds = 52 min 40 s |
Is 3160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3160 ÷ 2 = 1580) | 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 (3160 ÷ 4 = 790) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3160 ÷ 5 = 632) | 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 3) | 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 | Yes (3160 ÷ 8 = 395) | 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 (3160 ÷ 10 = 316) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 3160 a prime number?
No. 3160 = × 5 × 79, so it is divisible by 2.
What are the factors of 3160?
1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160.
What is 3160 in binary?
110001011000 (hexadecimal C58, octal 6130).
What is the square root of 3160?
About 56.2139, exactly 2√790.
What is 3160 in Roman numerals?
MMMCLX.
Is 3160 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3160?
3160 is a triangular number: 1 + 2 + … + 79 = 3160; a Harshad number: divisible by its digit sum 10.