The number 74472
74472 is a composite number with 32 divisors. Its prime factorisation is × 3 × 29 × 107. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 107, 116, 174, 214, 232 … 74472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74472: a Harshad number: divisible by its digit sum 24.
- 2
74472 is composite. Its prime factorisation is
- 3
The divisors add up to 194400; without 74472 itself that is 119928, so 74472 is abundant (119928 is more than 74472). Euler's totient φ(74472) = 23744 numbers up to 74472 share no factor with it.
- 4
The digits of 74472 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74472 = 2^{3} \times 3 \times 29 \times 107 \]74472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 194400 |
| Euler totient φ(n) | 23744 |
| Square | 5546078784 |
| Cube | 413027579202048 |
| Square root | 272.895584 (= 2√18618) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4472 × |
74472 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and seventy-two |
| Binary (base 2) | 10010001011101000 |
| Octal (base 8) | 221350 |
| Hexadecimal (base 16) | 122E8 |
| Base 3 | 10210011020 |
| As time | 74472 seconds = 20 h 41 min 12 s |
Is 74472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74472 ÷ 2 = 37236) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74472 ÷ 3 = 24824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74472 ÷ 4 = 18618) | 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 (74472 ÷ 6 = 12412) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (74472 ÷ 8 = 9309) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74472 ÷ 12 = 6206) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74472 a prime number?
No. 74472 = × 3 × 29 × 107, so it is divisible by 2.
What are the factors of 74472?
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 107, 116, 174, 214, 232, 321, 348, 428, 642, 696, 856, 1284, 2568, 3103, 6206, 9309, 12412, 18618, 24824, 37236, 74472.
What is 74472 in binary?
10010001011101000 (hexadecimal 122E8, octal 221350).
What is the square root of 74472?
About 272.8956, exactly 2√18618.
Is 74472 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 74472?
74472 is a Harshad number: divisible by its digit sum 24.