The number 3736
3736 is a composite number with 8 divisors. Its prime factorisation is × 467. Divisors (8): 1, 2, 4, 8, 467, 934, 1868, 3736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3736: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3736 is composite. Its prime factorisation is
- 3
The divisors add up to 7020; without 3736 itself that is 3284, so 3736 is deficient (3284 is less than 3736). Euler's totient φ(3736) = 1864 numbers up to 3736 share no factor with it.
- 4
The digits of 3736 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 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3736 = 2^{3} \times 467 \]3736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7020 |
| Euler totient φ(n) | 1864 |
| Square | 13957696 |
| Cube | 52145952256 |
| Square root | 61.122827 (= 2√934) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.736 × |
3736 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and thirty-six |
| Roman numerals | MMMDCCXXXVI |
| Binary (base 2) | 111010011000 |
| Octal (base 8) | 7230 |
| Hexadecimal (base 16) | E98 |
| Base 3 | 12010101 |
| As time | 3736 seconds = 1 h 2 min 16 s |
Is 3736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3736 ÷ 2 = 1868) | 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 (3736 ÷ 4 = 934) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 5) | 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 (3736 ÷ 8 = 467) | 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 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3736 a prime number?
No. 3736 = × 467, so it is divisible by 2.
What are the factors of 3736?
1, 2, 4, 8, 467, 934, 1868, 3736.
What is 3736 in binary?
111010011000 (hexadecimal E98, octal 7230).
What is the square root of 3736?
About 61.1228, exactly 2√934.
What is 3736 in Roman numerals?
MMMDCCXXXVI.
Is 3736 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3736?
3736 is a happy number: repeatedly adding the squares of its digits reaches 1.