The number 62672
62672 is a composite number with 10 divisors. Its prime factorisation is × 3917. Divisors (10): 1, 2, 4, 8, 16, 3917, 7834, 15668, 31336, 62672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62672: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
62672 is composite. Its prime factorisation is
- 3
The divisors add up to 121458; without 62672 itself that is 58786, so 62672 is deficient (58786 is less than 62672). Euler's totient φ(62672) = 31328 numbers up to 62672 share no factor with it.
- 4
The digits of 62672 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62672 = 2^{4} \times 3917 \]62672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 121458 |
| Euler totient φ(n) | 31328 |
| Square | 3927779584 |
| Cube | 246161802088448 |
| Square root | 250.343764 (= 4√3917) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.2672 × |
62672 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand six hundred and seventy-two |
| Binary (base 2) | 1111010011010000 |
| Octal (base 8) | 172320 |
| Hexadecimal (base 16) | F4D0 |
| Base 3 | 10011222012 |
| As time | 62672 seconds = 17 h 24 min 32 s |
Is 62672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62672 ÷ 2 = 31336) | 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 (62672 ÷ 4 = 15668) | 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 1) | 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 (62672 ÷ 8 = 7834) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | 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 62672 a prime number?
No. 62672 = × 3917, so it is divisible by 2.
What are the factors of 62672?
1, 2, 4, 8, 16, 3917, 7834, 15668, 31336, 62672.
What is 62672 in binary?
1111010011010000 (hexadecimal F4D0, octal 172320).
What is the square root of 62672?
About 250.3438, exactly 4√3917.
Is 62672 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 62672?
62672 is a happy number: repeatedly adding the squares of its digits reaches 1.