The number 72501
72501 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × . Divisors (16): 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 2197, 5577, 6591, 24167, 72501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72501: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72501 is composite. Its prime factorisation is
- 3
The divisors add up to 114240; without 72501 itself that is 41739, so 72501 is deficient (41739 is less than 72501). Euler's totient φ(72501) = 40560 numbers up to 72501 share no factor with it.
- 4
The digits of 72501 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72501 = 3 \times 11 \times 13^{3} \]72501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 114240 |
| Euler totient φ(n) | 40560 |
| Square | 5256395001 |
| Cube | 381093893967501 |
| Square root | 269.260097 (= 13√429) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2501 × |
72501 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand five hundred and one |
| Binary (base 2) | 10001101100110101 |
| Octal (base 8) | 215465 |
| Hexadecimal (base 16) | 11B35 |
| Base 3 | 10200110020 |
| As time | 72501 seconds = 20 h 8 min 21 s |
Is 72501 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 (72501 ÷ 3 = 24167) | 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 1) | 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 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72501 ÷ 11 = 6591) | 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 72501 a prime number?
No. 72501 = 3 × 11 × , so it is divisible by 3.
What are the factors of 72501?
1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 2197, 5577, 6591, 24167, 72501.
What is 72501 in binary?
10001101100110101 (hexadecimal 11B35, octal 215465).
What is the square root of 72501?
About 269.2601, exactly 13√429.
Is 72501 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 72501?
72501 is a happy number: repeatedly adding the squares of its digits reaches 1.