The number 37103
37103 is a composite number with 4 divisors. Its prime factorisation is 11 × 3373. Divisors (4): 1, 11, 3373, 37103.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37103: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3373, the product of two primes.
- 2
37103 is composite. Its prime factorisation is
- 3
The divisors add up to 40488; without 37103 itself that is 3385, so 37103 is deficient (3385 is less than 37103). Euler's totient φ(37103) = 33720 numbers up to 37103 share no factor with it.
- 4
The digits of 37103 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37103 = 11 \times 3373 \]
37103 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 40488 |
| Euler totient φ(n) | 33720 |
| Square | 1376632609 |
| Cube | 51077199691727 |
| Square root | 192.621390 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.7103 × |
37103 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and three |
| Binary (base 2) | 1001000011101111 |
| Octal (base 8) | 110357 |
| Hexadecimal (base 16) | 90EF |
| Base 3 | 1212220012 |
| As time | 37103 seconds = 10 h 18 min 23 s |
Is 37103 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 | No (remainder 3) | 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 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (37103 ÷ 11 = 3373) | 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 37103 a prime number?
No. 37103 = 11 × 3373, so it is divisible by 11.
What are the factors of 37103?
1, 11, 3373, 37103.
What is 37103 in binary?
1001000011101111 (hexadecimal 90EF, octal 110357).
What is the square root of 37103?
About 192.6214.
Is 37103 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 37103?
37103 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3373, the product of two primes.