The number 72477
72477 is a composite number with 6 divisors. Its prime factorisation is × 8053. Divisors (6): 1, 3, 9, 8053, 24159, 72477.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72477: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72477 is composite. Its prime factorisation is
- 3
The divisors add up to 104702; without 72477 itself that is 32225, so 72477 is deficient (32225 is less than 72477). Euler's totient φ(72477) = 48312 numbers up to 72477 share no factor with it.
- 4
The digits of 72477 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72477 = 3^{2} \times 8053 \]72477 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 104702 |
| Euler totient φ(n) | 48312 |
| Square | 5252915529 |
| Cube | 380715558795333 |
| Square root | 269.215527 (= 3√8053) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2477 × |
72477 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and seventy-seven |
| Binary (base 2) | 10001101100011101 |
| Octal (base 8) | 215435 |
| Hexadecimal (base 16) | 11B1D |
| Base 3 | 10200102100 |
| As time | 72477 seconds = 20 h 7 min 57 s |
Is 72477 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72477 ÷ 3 = 24159) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72477 ÷ 9 = 8053) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72477 a prime number?
No. 72477 = × 8053, so it is divisible by 3.
What are the factors of 72477?
1, 3, 9, 8053, 24159, 72477.
What is 72477 in binary?
10001101100011101 (hexadecimal 11B1D, octal 215435).
What is the square root of 72477?
About 269.2155, exactly 3√8053.
Is 72477 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72477?
72477 is a happy number: repeatedly adding the squares of its digits reaches 1.