The number 35742
35742 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 23 × 37. Divisors (32): 1, 2, 3, 6, 7, 14, 21, 23, 37, 42, 46, 69, 74, 111, 138, 161 … 35742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35742: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
35742 is composite. Its prime factorisation is
- 3
The divisors add up to 87552; without 35742 itself that is 51810, so 35742 is abundant (51810 is more than 35742). Euler's totient φ(35742) = 9504 numbers up to 35742 share no factor with it.
- 4
The digits of 35742 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35742 = 2 \times 3 \times 7 \times 23 \times 37 \]
35742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 87552 |
| Euler totient φ(n) | 9504 |
| Square | 1277490564 |
| Cube | 45660067738488 |
| Square root | 189.055547 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.5742 × |
35742 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and forty-two |
| Binary (base 2) | 1000101110011110 |
| Octal (base 8) | 105636 |
| Hexadecimal (base 16) | 8B9E |
| Base 3 | 1211000210 |
| As time | 35742 seconds = 9 h 55 min 42 s |
Is 35742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35742 ÷ 2 = 17871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35742 ÷ 3 = 11914) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35742 ÷ 6 = 5957) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35742 ÷ 7 = 5106) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35742 a prime number?
No. 35742 = 2 × 3 × 7 × 23 × 37, so it is divisible by 2.
What are the factors of 35742?
1, 2, 3, 6, 7, 14, 21, 23, 37, 42, 46, 69, 74, 111, 138, 161, 222, 259, 322, 483, 518, 777, 851, 966, 1554, 1702, 2553, 5106, 5957, 11914, 17871, 35742.
What is 35742 in binary?
1000101110011110 (hexadecimal 8B9E, octal 105636).
What is the square root of 35742?
About 189.0555.
Is 35742 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 35742?
35742 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.