The number 61672
61672 is a composite number with 16 divisors. Its prime factorisation is × 13 × 593. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 593, 1186, 2372, 4744, 7709, 15418, 30836, 61672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61672 is composite. Its prime factorisation is
- 3
The divisors add up to 124740; without 61672 itself that is 63068, so 61672 is abundant (63068 is more than 61672). Euler's totient φ(61672) = 28416 numbers up to 61672 share no factor with it.
- 4
The digits of 61672 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61672 = 2^{3} \times 13 \times 593 \]61672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 124740 |
| Euler totient φ(n) | 28416 |
| Square | 3803435584 |
| Cube | 234565479336448 |
| Square root | 248.338479 (= 2√15418) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.1672 × |
61672 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and seventy-two |
| Binary (base 2) | 1111000011101000 |
| Octal (base 8) | 170350 |
| Hexadecimal (base 16) | F0E8 |
| Base 3 | 10010121011 |
| As time | 61672 seconds = 17 h 7 min 52 s |
Is 61672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61672 ÷ 2 = 30836) | 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 (61672 ÷ 4 = 15418) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (61672 ÷ 8 = 7709) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | 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 61672 a prime number?
No. 61672 = × 13 × 593, so it is divisible by 2.
What are the factors of 61672?
1, 2, 4, 8, 13, 26, 52, 104, 593, 1186, 2372, 4744, 7709, 15418, 30836, 61672.
What is 61672 in binary?
1111000011101000 (hexadecimal F0E8, octal 170350).
What is the square root of 61672?
About 248.3385, exactly 2√15418.
Is 61672 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 61672?
It is a composite number with 16 divisors.