The number 74138
74138 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 1951. Divisors (8): 1, 2, 19, 38, 1951, 3902, 37069, 74138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74138: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74138 is composite. Its prime factorisation is
- 3
The divisors add up to 117120; without 74138 itself that is 42982, so 74138 is deficient (42982 is less than 74138). Euler's totient φ(74138) = 35100 numbers up to 74138 share no factor with it.
- 4
The digits of 74138 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74138 = 2 \times 19 \times 1951 \]
74138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 117120 |
| Euler totient φ(n) | 35100 |
| Square | 5496443044 |
| Cube | 407495294396072 |
| Square root | 272.282941 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4138 × |
74138 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and thirty-eight |
| Binary (base 2) | 10010000110011010 |
| Octal (base 8) | 220632 |
| Hexadecimal (base 16) | 1219A |
| Base 3 | 10202200212 |
| As time | 74138 seconds = 20 h 35 min 38 s |
Is 74138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74138 ÷ 2 = 37069) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74138 a prime number?
No. 74138 = 2 × 19 × 1951, so it is divisible by 2.
What are the factors of 74138?
1, 2, 19, 38, 1951, 3902, 37069, 74138.
What is 74138 in binary?
10010000110011010 (hexadecimal 1219A, octal 220632).
What is the square root of 74138?
About 272.2829.
Is 74138 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 74138?
74138 is a happy number: repeatedly adding the squares of its digits reaches 1.