The number 74172
74172 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 883. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 883, 1766, 2649, 3532 … 74172.
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How to work it out
- 1
What is special about 74172: a Harshad number: divisible by its digit sum 21.
- 2
74172 is composite. Its prime factorisation is
- 3
The divisors add up to 198016; without 74172 itself that is 123844, so 74172 is abundant (123844 is more than 74172). Euler's totient φ(74172) = 21168 numbers up to 74172 share no factor with it.
- 4
The digits of 74172 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74172 = 2^{2} \times 3 \times 7 \times 883 \]74172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 198016 |
| Euler totient φ(n) | 21168 |
| Square | 5501485584 |
| Cube | 408056188736448 |
| Square root | 272.345369 (= 2√18543) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.4172 × |
74172 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and seventy-two |
| Binary (base 2) | 10010000110111100 |
| Octal (base 8) | 220674 |
| Hexadecimal (base 16) | 121BC |
| Base 3 | 10202202010 |
| As time | 74172 seconds = 20 h 36 min 12 s |
Is 74172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74172 ÷ 2 = 37086) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74172 ÷ 3 = 24724) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74172 ÷ 4 = 18543) | 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 | Yes (74172 ÷ 6 = 12362) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74172 ÷ 7 = 10596) | 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74172 ÷ 12 = 6181) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74172 a prime number?
No. 74172 = × 3 × 7 × 883, so it is divisible by 2.
What are the factors of 74172?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 883, 1766, 2649, 3532, 5298, 6181, 10596, 12362, 18543, 24724, 37086, 74172.
What is 74172 in binary?
10010000110111100 (hexadecimal 121BC, octal 220674).
What is the square root of 74172?
About 272.3454, exactly 2√18543.
Is 74172 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 74172?
74172 is a Harshad number: divisible by its digit sum 21.