The number 74464
74464 is a composite number with 24 divisors. Its prime factorisation is × 13 × 179. Divisors (24): 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 179, 208, 358, 416, 716, 1432 … 74464.
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How to work it out
- 1
What is special about 74464: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74464 is composite. Its prime factorisation is
- 3
The divisors add up to 158760; without 74464 itself that is 84296, so 74464 is abundant (84296 is more than 74464). Euler's totient φ(74464) = 34176 numbers up to 74464 share no factor with it.
- 4
The digits of 74464 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74464 = 2^{5} \times 13 \times 179 \]74464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 158760 |
| Euler totient φ(n) | 34176 |
| Square | 5544887296 |
| Cube | 412894487609344 |
| Square root | 272.880926 (= 4√4654) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4464 × |
74464 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and sixty-four |
| Binary (base 2) | 10010001011100000 |
| Octal (base 8) | 221340 |
| Hexadecimal (base 16) | 122E0 |
| Base 3 | 10210010221 |
| As time | 74464 seconds = 20 h 41 min 4 s |
Is 74464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74464 ÷ 2 = 37232) | 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 (74464 ÷ 4 = 18616) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (74464 ÷ 8 = 9308) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 74464 a prime number?
No. 74464 = × 13 × 179, so it is divisible by 2.
What are the factors of 74464?
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 179, 208, 358, 416, 716, 1432, 2327, 2864, 4654, 5728, 9308, 18616, 37232, 74464.
What is 74464 in binary?
10010001011100000 (hexadecimal 122E0, octal 221340).
What is the square root of 74464?
About 272.8809, exactly 4√4654.
Is 74464 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 74464?
74464 is a happy number: repeatedly adding the squares of its digits reaches 1.