The number 77572
77572 is a composite number with 24 divisors. Its prime factorisation is × 11 × 41 × 43. Divisors (24): 1, 2, 4, 11, 22, 41, 43, 44, 82, 86, 164, 172, 451, 473, 902, 946 … 77572.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77572: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77572 is composite. Its prime factorisation is
- 3
The divisors add up to 155232; without 77572 itself that is 77660, so 77572 is abundant (77660 is more than 77572). Euler's totient φ(77572) = 33600 numbers up to 77572 share no factor with it.
- 4
The digits of 77572 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77572 = 2^{2} \times 11 \times 41 \times 43 \]77572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 155232 |
| Euler totient φ(n) | 33600 |
| Square | 6017415184 |
| Cube | 466782930653248 |
| Square root | 278.517504 (= 2√19393) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7572 × |
77572 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand five hundred and seventy-two |
| Binary (base 2) | 10010111100000100 |
| Octal (base 8) | 227404 |
| Hexadecimal (base 16) | 12F04 |
| Base 3 | 10221102001 |
| As time | 77572 seconds = 21 h 32 min 52 s |
Is 77572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77572 ÷ 2 = 38786) | 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 (77572 ÷ 4 = 19393) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (77572 ÷ 11 = 7052) | 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 77572 a prime number?
No. 77572 = × 11 × 41 × 43, so it is divisible by 2.
What are the factors of 77572?
1, 2, 4, 11, 22, 41, 43, 44, 82, 86, 164, 172, 451, 473, 902, 946, 1763, 1804, 1892, 3526, 7052, 19393, 38786, 77572.
What is 77572 in binary?
10010111100000100 (hexadecimal 12F04, octal 227404).
What is the square root of 77572?
About 278.5175, exactly 2√19393.
Is 77572 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 77572?
77572 is a happy number: repeatedly adding the squares of its digits reaches 1.