The number 74672
74672 is a composite number with 20 divisors. Its prime factorisation is × 13 × 359. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 359, 718, 1436, 2872, 4667, 5744 … 74672.
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How to work it out
- 1
What is special about 74672: a Harshad number: divisible by its digit sum 26.
- 2
74672 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 74672 itself that is 81568, so 74672 is abundant (81568 is more than 74672). Euler's totient φ(74672) = 34368 numbers up to 74672 share no factor with it.
- 4
The digits of 74672 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74672 = 2^{4} \times 13 \times 359 \]74672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 34368 |
| Square | 5575907584 |
| Cube | 416364171112448 |
| Square root | 273.261779 (= 4√4667) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.4672 × |
74672 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand six hundred and seventy-two |
| Binary (base 2) | 10010001110110000 |
| Octal (base 8) | 221660 |
| Hexadecimal (base 16) | 123B0 |
| Base 3 | 10210102122 |
| As time | 74672 seconds = 20 h 44 min 32 s |
Is 74672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74672 ÷ 2 = 37336) | 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 | Yes (74672 ÷ 4 = 18668) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (74672 ÷ 8 = 9334) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74672 a prime number?
No. 74672 = × 13 × 359, so it is divisible by 2.
What are the factors of 74672?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 359, 718, 1436, 2872, 4667, 5744, 9334, 18668, 37336, 74672.
What is 74672 in binary?
10010001110110000 (hexadecimal 123B0, octal 221660).
What is the square root of 74672?
About 273.2618, exactly 4√4667.
Is 74672 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 74672?
74672 is a Harshad number: divisible by its digit sum 26.