The number 61472
61472 is a composite number with 24 divisors. Its prime factorisation is × 17 × 113. Divisors (24): 1, 2, 4, 8, 16, 17, 32, 34, 68, 113, 136, 226, 272, 452, 544, 904 … 61472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61472 is composite. Its prime factorisation is
- 3
The divisors add up to 129276; without 61472 itself that is 67804, so 61472 is abundant (67804 is more than 61472). Euler's totient φ(61472) = 28672 numbers up to 61472 share no factor with it.
- 4
The digits of 61472 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61472 = 2^{5} \times 17 \times 113 \]61472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 129276 |
| Euler totient φ(n) | 28672 |
| Square | 3778806784 |
| Cube | 232290810626048 |
| Square root | 247.935475 (= 4√3842) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.1472 × |
61472 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and seventy-two |
| Binary (base 2) | 1111000000100000 |
| Octal (base 8) | 170040 |
| Hexadecimal (base 16) | F020 |
| Base 3 | 10010022202 |
| As time | 61472 seconds = 17 h 4 min 32 s |
Is 61472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61472 ÷ 2 = 30736) | 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 (61472 ÷ 4 = 15368) | 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 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 (61472 ÷ 8 = 7684) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 61472 a prime number?
No. 61472 = × 17 × 113, so it is divisible by 2.
What are the factors of 61472?
1, 2, 4, 8, 16, 17, 32, 34, 68, 113, 136, 226, 272, 452, 544, 904, 1808, 1921, 3616, 3842, 7684, 15368, 30736, 61472.
What is 61472 in binary?
1111000000100000 (hexadecimal F020, octal 170040).
What is the square root of 61472?
About 247.9355, exactly 4√3842.
Is 61472 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 61472?
It is a composite number with 24 divisors.