The number 74008
74008 is a composite number with 24 divisors. Its prime factorisation is × 11 × . Divisors (24): 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 841, 1276 … 74008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74008: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74008 is composite. Its prime factorisation is
- 3
The divisors add up to 156780; without 74008 itself that is 82772, so 74008 is abundant (82772 is more than 74008). Euler's totient φ(74008) = 32480 numbers up to 74008 share no factor with it.
- 4
The digits of 74008 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74008 = 2^{3} \times 11 \times 29^{2} \]74008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 156780 |
| Euler totient φ(n) | 32480 |
| Square | 5477184064 |
| Cube | 405355438208512 |
| Square root | 272.044114 (= 58√22) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.4008 × |
74008 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and eight |
| Binary (base 2) | 10010000100011000 |
| Octal (base 8) | 220430 |
| Hexadecimal (base 16) | 12118 |
| Base 3 | 10202112001 |
| As time | 74008 seconds = 20 h 33 min 28 s |
Is 74008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74008 ÷ 2 = 37004) | 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 | Yes (74008 ÷ 4 = 18502) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (74008 ÷ 8 = 9251) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (74008 ÷ 11 = 6728) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74008 a prime number?
No. 74008 = × 11 × , so it is divisible by 2.
What are the factors of 74008?
1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 841, 1276, 1682, 2552, 3364, 6728, 9251, 18502, 37004, 74008.
What is 74008 in binary?
10010000100011000 (hexadecimal 12118, octal 220430).
What is the square root of 74008?
About 272.0441, exactly 58√22.
Is 74008 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 74008?
74008 is a happy number: repeatedly adding the squares of its digits reaches 1.