The number 74169
74169 is a composite number with 16 divisors. Its prime factorisation is × 41 × 67. Divisors (16): 1, 3, 9, 27, 41, 67, 123, 201, 369, 603, 1107, 1809, 2747, 8241, 24723, 74169.
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How to work it out
- 1
What is special about 74169: a Harshad number: divisible by its digit sum 27.
- 2
74169 is composite. Its prime factorisation is
- 3
The divisors add up to 114240; without 74169 itself that is 40071, so 74169 is deficient (40071 is less than 74169). Euler's totient φ(74169) = 47520 numbers up to 74169 share no factor with it.
- 4
The digits of 74169 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74169 = 3^{3} \times 41 \times 67 \]74169 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 114240 |
| Euler totient φ(n) | 47520 |
| Square | 5501040561 |
| Cube | 408006677368809 |
| Square root | 272.339861 (= 3√8241) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4169 × |
74169 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and sixty-nine |
| Binary (base 2) | 10010000110111001 |
| Octal (base 8) | 220671 |
| Hexadecimal (base 16) | 121B9 |
| Base 3 | 10202202000 |
| As time | 74169 seconds = 20 h 36 min 9 s |
Is 74169 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 (74169 ÷ 3 = 24723) | 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 4) | 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 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74169 ÷ 9 = 8241) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 74169 a prime number?
No. 74169 = × 41 × 67, so it is divisible by 3.
What are the factors of 74169?
1, 3, 9, 27, 41, 67, 123, 201, 369, 603, 1107, 1809, 2747, 8241, 24723, 74169.
What is 74169 in binary?
10010000110111001 (hexadecimal 121B9, octal 220671).
What is the square root of 74169?
About 272.3399, exactly 3√8241.
Is 74169 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 74169?
74169 is a Harshad number: divisible by its digit sum 27.