The number 74015
74015 is a composite number with 8 divisors. Its prime factorisation is 5 × 113 × 131. Divisors (8): 1, 5, 113, 131, 565, 655, 14803, 74015.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74015: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74015 is composite. Its prime factorisation is
- 3
The divisors add up to 90288; without 74015 itself that is 16273, so 74015 is deficient (16273 is less than 74015). Euler's totient φ(74015) = 58240 numbers up to 74015 share no factor with it.
- 4
The digits of 74015 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74015 = 5 \times 113 \times 131 \]
74015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 90288 |
| Euler totient φ(n) | 58240 |
| Square | 5478220225 |
| Cube | 405470469953375 |
| Square root | 272.056979 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4015 × |
74015 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and fifteen |
| Binary (base 2) | 10010000100011111 |
| Octal (base 8) | 220437 |
| Hexadecimal (base 16) | 1211F |
| Base 3 | 10202112022 |
| As time | 74015 seconds = 20 h 33 min 35 s |
Is 74015 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 2) | 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 (74015 ÷ 5 = 14803) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74015 a prime number?
No. 74015 = 5 × 113 × 131, so it is divisible by 5.
What are the factors of 74015?
1, 5, 113, 131, 565, 655, 14803, 74015.
What is 74015 in binary?
10010000100011111 (hexadecimal 1211F, octal 220437).
What is the square root of 74015?
About 272.0570.
Is 74015 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 74015?
74015 is a happy number: repeatedly adding the squares of its digits reaches 1.