The number 1015
1015 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 29. Divisors (8): 1, 5, 7, 29, 35, 145, 203, 1015.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1015: a Harshad number: divisible by its digit sum 7.
- 2
1015 is composite. Its prime factorisation is
- 3
The divisors add up to 1440; without 1015 itself that is 425, so 1015 is deficient (425 is less than 1015). Euler's totient φ(1015) = 672 numbers up to 1015 share no factor with it.
- 4
The digits of 1015 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1015 = 5 \times 7 \times 29 \]
1015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1440 |
| Euler totient φ(n) | 672 |
| Square | 1030225 |
| Cube | 1045678375 |
| Square root | 31.859065 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 36 |
| Scientific notation | 1.015 × |
1015 in other forms
| Form | Value |
|---|---|
| In words | one thousand and fifteen |
| Roman numerals | MXV |
| Binary (base 2) | 1111110111 |
| Octal (base 8) | 1767 |
| Hexadecimal (base 16) | 3F7 |
| Base 3 | 1101121 |
| As time | 1015 seconds = 16 min 55 s |
Is 1015 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1015 ÷ 5 = 203) | 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 | Yes (1015 ÷ 7 = 145) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1015 a prime number?
No. 1015 = 5 × 7 × 29, so it is divisible by 5.
What are the factors of 1015?
1, 5, 7, 29, 35, 145, 203, 1015.
What is 1015 in binary?
1111110111 (hexadecimal 3F7, octal 1767).
What is the square root of 1015?
About 31.8591.
What is 1015 in Roman numerals?
MXV.
Is 1015 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 1015?
1015 is a Harshad number: divisible by its digit sum 7.