The number 35074
35074 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 19 × 71. Divisors (16): 1, 2, 13, 19, 26, 38, 71, 142, 247, 494, 923, 1349, 1846, 2698, 17537, 35074.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35074: a Harshad number: divisible by its digit sum 19.
- 2
35074 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 35074 itself that is 25406, so 35074 is deficient (25406 is less than 35074). Euler's totient φ(35074) = 15120 numbers up to 35074 share no factor with it.
- 4
The digits of 35074 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35074 = 2 \times 13 \times 19 \times 71 \]
35074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 15120 |
| Square | 1230185476 |
| Cube | 43147525385224 |
| Square root | 187.280538 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.5074 × |
35074 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and seventy-four |
| Binary (base 2) | 1000100100000010 |
| Octal (base 8) | 104402 |
| Hexadecimal (base 16) | 8902 |
| Base 3 | 1210010001 |
| As time | 35074 seconds = 9 h 44 min 34 s |
Is 35074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35074 ÷ 2 = 17537) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 2) | 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 4) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35074 a prime number?
No. 35074 = 2 × 13 × 19 × 71, so it is divisible by 2.
What are the factors of 35074?
1, 2, 13, 19, 26, 38, 71, 142, 247, 494, 923, 1349, 1846, 2698, 17537, 35074.
What is 35074 in binary?
1000100100000010 (hexadecimal 8902, octal 104402).
What is the square root of 35074?
About 187.2805.
Is 35074 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 35074?
35074 is a Harshad number: divisible by its digit sum 19.