The number 37102
37102 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1427. Divisors (8): 1, 2, 13, 26, 1427, 2854, 18551, 37102.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37102: a Harshad number: divisible by its digit sum 13.
- 2
37102 is composite. Its prime factorisation is
- 3
The divisors add up to 59976; without 37102 itself that is 22874, so 37102 is deficient (22874 is less than 37102). Euler's totient φ(37102) = 17112 numbers up to 37102 share no factor with it.
- 4
The digits of 37102 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37102 = 2 \times 13 \times 1427 \]
37102 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59976 |
| Euler totient φ(n) | 17112 |
| Square | 1376558404 |
| Cube | 51073069905208 |
| Square root | 192.618795 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7102 × |
37102 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and two |
| Binary (base 2) | 1001000011101110 |
| Octal (base 8) | 110356 |
| Hexadecimal (base 16) | 90EE |
| Base 3 | 1212220011 |
| As time | 37102 seconds = 10 h 18 min 22 s |
Is 37102 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37102 ÷ 2 = 18551) | 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 2) | 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 2) | 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 4) | 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 10) | 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 37102 a prime number?
No. 37102 = 2 × 13 × 1427, so it is divisible by 2.
What are the factors of 37102?
1, 2, 13, 26, 1427, 2854, 18551, 37102.
What is 37102 in binary?
1001000011101110 (hexadecimal 90EE, octal 110356).
What is the square root of 37102?
About 192.6188.
Is 37102 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 37102?
37102 is a Harshad number: divisible by its digit sum 13.