The number 77250
77250 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × × 103. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 103, 125, 150, 206, 250 … 77250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77250 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77250 is composite. Its prime factorisation is
- 3
The divisors add up to 194688; without 77250 itself that is 117438, so 77250 is abundant (117438 is more than 77250). Euler's totient φ(77250) = 20400 numbers up to 77250 share no factor with it.
- 4
The digits of 77250 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77250 = 2 \times 3 \times 5^{3} \times 103 \]77250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 194688 |
| Euler totient φ(n) | 20400 |
| Square | 5967562500 |
| Cube | 460994203125000 |
| Square root | 277.938842 (= 5√3090) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.725 × |
77250 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and fifty |
| Binary (base 2) | 10010110111000010 |
| Octal (base 8) | 226702 |
| Hexadecimal (base 16) | 12DC2 |
| Base 3 | 10220222010 |
| As time | 77250 seconds = 21 h 27 min 30 s |
Is 77250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77250 ÷ 2 = 38625) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77250 ÷ 3 = 25750) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77250 ÷ 5 = 15450) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77250 ÷ 6 = 12875) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77250 ÷ 10 = 7725) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77250 a prime number?
No. 77250 = 2 × 3 × × 103, so it is divisible by 2.
What are the factors of 77250?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 103, 125, 150, 206, 250, 309, 375, 515, 618, 750, 1030, 1545, 2575, 3090, 5150, 7725, 12875, 15450, 25750, 38625, 77250.
What is 77250 in binary?
10010110111000010 (hexadecimal 12DC2, octal 226702).
What is the square root of 77250?
About 277.9388, exactly 5√3090.
Is 77250 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77250?
It is a composite number with 32 divisors.