The number 74037
74037 is a composite number with 16 divisors. Its prime factorisation is 3 × 23 × 29 × 37. Divisors (16): 1, 3, 23, 29, 37, 69, 87, 111, 667, 851, 1073, 2001, 2553, 3219, 24679, 74037.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74037 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74037 is composite. Its prime factorisation is
- 3
The divisors add up to 109440; without 74037 itself that is 35403, so 74037 is deficient (35403 is less than 74037). Euler's totient φ(74037) = 44352 numbers up to 74037 share no factor with it.
- 4
The digits of 74037 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74037 = 3 \times 23 \times 29 \times 37 \]
74037 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 109440 |
| Euler totient φ(n) | 44352 |
| Square | 5481477369 |
| Cube | 405832139968653 |
| Square root | 272.097409 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4037 × |
74037 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and thirty-seven |
| Binary (base 2) | 10010000100110101 |
| Octal (base 8) | 220465 |
| Hexadecimal (base 16) | 12135 |
| Base 3 | 10202120010 |
| As time | 74037 seconds = 20 h 33 min 57 s |
Is 74037 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 | Yes (74037 ÷ 3 = 24679) | 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 3) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74037 a prime number?
No. 74037 = 3 × 23 × 29 × 37, so it is divisible by 3.
What are the factors of 74037?
1, 3, 23, 29, 37, 69, 87, 111, 667, 851, 1073, 2001, 2553, 3219, 24679, 74037.
What is 74037 in binary?
10010000100110101 (hexadecimal 12135, octal 220465).
What is the square root of 74037?
About 272.0974.
Is 74037 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 74037?
It is a composite number with 16 divisors.