The number 74137
74137 is a composite number with 12 divisors. Its prime factorisation is × 17 × 89. Divisors (12): 1, 7, 17, 49, 89, 119, 623, 833, 1513, 4361, 10591, 74137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74137 is composite. Its prime factorisation is
- 3
The divisors add up to 92340; without 74137 itself that is 18203, so 74137 is deficient (18203 is less than 74137). Euler's totient φ(74137) = 59136 numbers up to 74137 share no factor with it.
- 4
The digits of 74137 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74137 = 7^{2} \times 17 \times 89 \]74137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 92340 |
| Euler totient φ(n) | 59136 |
| Square | 5496294769 |
| Cube | 407478805289353 |
| Square root | 272.281105 (= 7√1513) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.4137 × |
74137 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and thirty-seven |
| Binary (base 2) | 10010000110011001 |
| Octal (base 8) | 220631 |
| Hexadecimal (base 16) | 12199 |
| Base 3 | 10202200211 |
| As time | 74137 seconds = 20 h 35 min 37 s |
Is 74137 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74137 ÷ 7 = 10591) | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74137 a prime number?
No. 74137 = × 17 × 89, so it is divisible by 7.
What are the factors of 74137?
1, 7, 17, 49, 89, 119, 623, 833, 1513, 4361, 10591, 74137.
What is 74137 in binary?
10010000110011001 (hexadecimal 12199, octal 220631).
What is the square root of 74137?
About 272.2811, exactly 7√1513.
Is 74137 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 74137?
It is a composite number with 12 divisors.